Simplify 3/(2x+5)+21/(8x^2+26x+15)

Math
Factor by grouping.
Tap for more steps…
For a polynomial of the form , rewrite the middle term as a sum of two terms whose product is and whose sum is .
Tap for more steps…
Factor out of .
Rewrite as plus
Apply the distributive property.
Factor out the greatest common factor from each group.
Tap for more steps…
Group the first two terms and the last two terms.
Factor out the greatest common factor (GCF) from each group.
Factor the polynomial by factoring out the greatest common factor, .
To write as a fraction with a common denominator, multiply by .
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
Tap for more steps…
Multiply and .
Reorder the factors of .
Combine the numerators over the common denominator.
Simplify the numerator.
Tap for more steps…
Factor out of .
Tap for more steps…
Factor out of .
Factor out of .
Add and .
Factor out of .
Tap for more steps…
Factor out of .
Factor out of .
Factor out of .
Multiply by .
Cancel the common factor of .
Tap for more steps…
Cancel the common factor.
Rewrite the expression.
Simplify 3/(2x+5)+21/(8x^2+26x+15)

Download our
App from the store

Create a High Performed UI/UX Design from a Silicon Valley.

Scroll to top