# Solve in Terms of the Arbitrary Variable x ((5-3i)(x+iy))/(4-5i)=(2+i)^2-(3-4i)^2 Multiply both sides of the equation by .
Simplify .
Expand using the FOIL Method.
Apply the distributive property.
Apply the distributive property.
Apply the distributive property.
Simplify each term.
Multiply .
Raise to the power of .
Raise to the power of .
Use the power rule to combine exponents.
Rewrite as .
Multiply by .
Simplify .
Simplify terms.
Simplify each term.
Rewrite as .
Expand using the FOIL Method.
Apply the distributive property.
Apply the distributive property.
Apply the distributive property.
Simplify and combine like terms.
Simplify each term.
Multiply by .
Move to the left of .
Multiply .
Raise to the power of .
Raise to the power of .
Use the power rule to combine exponents.
Rewrite as .
Subtract from .
Rewrite as .
Expand using the FOIL Method.
Apply the distributive property.
Apply the distributive property.
Apply the distributive property.
Simplify and combine like terms.
Simplify each term.
Multiply by .
Multiply by .
Multiply by .
Multiply .
Multiply by .
Raise to the power of .
Raise to the power of .
Use the power rule to combine exponents.
Rewrite as .
Multiply by .
Subtract from .
Subtract from .
Apply the distributive property.
Multiply by .
Multiply by .
Simplify by adding terms.
Expand using the FOIL Method.
Apply the distributive property.
Apply the distributive property.
Apply the distributive property.
Simplify and combine like terms.
Simplify each term.
Multiply by .
Multiply by .
Multiply by .
Multiply .
Multiply by .
Raise to the power of .
Raise to the power of .
Use the power rule to combine exponents.
Rewrite as .
Multiply by .
Move all terms not containing to the right side of the equation.
Subtract from both sides of the equation.
Add to both sides of the equation.
Factor out of .
Factor out of .
Factor out of .
Factor out of .
Divide each term by and simplify.
Divide each term in by .
Cancel the common factor of .
Cancel the common factor.
Divide by .
Simplify .
Simplify terms.
Simplify each term.
Multiply the numerator and denominator of by the conjugate of to make the denominator real.
Multiply.
Combine.
Simplify the numerator.
Apply the distributive property.
Multiply by .
Multiply by .
Simplify the denominator.
Expand using the FOIL Method.
Apply the distributive property.
Apply the distributive property.
Apply the distributive property.
Simplify.
Multiply by .
Multiply by .
Multiply by .
Multiply by .
Raise to the power of .
Raise to the power of .
Use the power rule to combine exponents.
Simplify each term.
Rewrite as .
Multiply by .
Cancel the common factor of and .
Factor out of .
Factor out of .
Factor out of .
Cancel the common factors.
Factor out of .
Cancel the common factor.
Rewrite the expression.
Split the fraction into two fractions.
Move the negative in front of the fraction.
Multiply the numerator and denominator of by the conjugate of to make the denominator real.
Multiply.
Combine.
Simplify the numerator.
Apply the distributive property.
Multiply by .
Multiply .
Multiply by .
Raise to the power of .
Raise to the power of .
Use the power rule to combine exponents.
Simplify each term.
Rewrite as .
Multiply by .
Reorder and .
Simplify the denominator.
Expand using the FOIL Method.
Apply the distributive property.
Apply the distributive property.
Apply the distributive property.
Simplify.
Multiply by .
Multiply by .
Multiply by .
Multiply by .
Raise to the power of .
Raise to the power of .
Use the power rule to combine exponents.
Simplify each term.
Rewrite as .
Multiply by .
Cancel the common factor of and .
Factor out of .
Factor out of .
Factor out of .
Cancel the common factors.
Factor out of .
Cancel the common factor.
Rewrite the expression.
Split the fraction into two fractions.
Multiply the numerator and denominator of by the conjugate of to make the denominator real.
Multiply.
Combine.
Simplify the numerator.
Apply the distributive property.
Multiply by .
Multiply by .
Simplify the denominator.
Expand using the FOIL Method.
Apply the distributive property.
Apply the distributive property.
Apply the distributive property.
Simplify.
Multiply by .
Multiply by .
Multiply by .
Multiply by .
Raise to the power of .
Raise to the power of .
Use the power rule to combine exponents.
Simplify each term.
Rewrite as .
Multiply by .
Factor out of .
Factor out of .
Factor out of .
Factor out of .
Multiply the numerator and denominator of by the conjugate of to make the denominator real.
Multiply.
Combine.
Simplify the numerator.
Apply the distributive property.
Multiply by .
Multiply .
Multiply by .
Raise to the power of .
Raise to the power of .
Use the power rule to combine exponents.
Simplify each term.
Rewrite as .
Multiply by .
Simplify the denominator.
Expand using the FOIL Method.
Apply the distributive property.
Apply the distributive property.
Apply the distributive property.
Simplify.
Multiply by .
Multiply by .
Multiply by .
Multiply by .
Raise to the power of .
Raise to the power of .
Use the power rule to combine exponents.
Simplify each term.
Rewrite as .
Multiply by .
Factor out of .
Factor out of .
Factor out of .
Factor out of .
Combine fractions with similar denominators.
Simplify the numerator.
Cancel the common factor of and .
Factor out of .
Factor out of .
Factor out of .
Cancel the common factors.
Factor out of .
Cancel the common factor.
Rewrite the expression.
Divide by .
To write as a fraction with a common denominator, multiply by .
Simplify terms.
Combine and .
Combine the numerators over the common denominator.
Multiply by .
Simplify the numerator.
Apply the distributive property.
Multiply by .
Multiply by .
Factor out of .
Factor out of .
Factor out of .
Factor out of .
Factor out of .
Factor out of .
To write as a fraction with a common denominator, multiply by .
Simplify terms.
Combine and .
Combine the numerators over the common denominator.
Simplify the numerator.
Apply the distributive property.
Simplify.
Multiply by .
Multiply by .
Multiply by .
Multiply by .
Reorder terms.
Combine the numerators over the common denominator.
Simplify the numerator.
Apply the distributive property.
Multiply by .
Multiply by .
Move .
Factor out of .
Factor out of .
Factor out of .
Factor out of .
Factor out of .
Factor out of .
Cancel the common factor of .
Cancel the common factor.
Divide by .
Solve in Terms of the Arbitrary Variable x ((5-3i)(x+iy))/(4-5i)=(2+i)^2-(3-4i)^2   ## Download our App from the store

### Create a High Performed UI/UX Design from a Silicon Valley.  Scroll to top