-43⋅(y-15)-19y

A polynomial is a combination of terms separated using + or – signs. Polynomials cannot contain any of the following:

1. Variables raised to a negative or fractional exponent. (2x-2,x12,…).

2. Variables in the denominator. (1x,1×2,…).

3. Variables under a radical. (x,x3,…).

4. Special features. (trig functions, absolute values, logarithms, …).

Simplify each term.

Apply the distributive property.

-43y-43⋅-15-19y

Combine y and 43.

-y⋅43-43⋅-15-19y

Cancel the common factor of 3.

Move the leading negative in -43 into the numerator.

-y⋅43+-43⋅-15-19y

Factor 3 out of -15.

-y⋅43+-43⋅(3(-5))-19y

Cancel the common factor.

-y⋅43+-43⋅(3⋅-5)-19y

Rewrite the expression.

-y⋅43-4⋅-5-19y

-y⋅43-4⋅-5-19y

Multiply -4 by -5.

-y⋅43+20-19y

Move 4 to the left of y.

-4y3+20-19y

Combine y and 19.

-4y3+20-y9

-4y3+20-y9

To write -4y3 as a fraction with a common denominator, multiply by 33.

-4y3⋅33-y9+20

Write each expression with a common denominator of 9, by multiplying each by an appropriate factor of 1.

Multiply 4y3 and 33.

-4y⋅33⋅3-y9+20

Multiply 3 by 3.

-4y⋅39-y9+20

-4y⋅39-y9+20

Combine the numerators over the common denominator.

-4y⋅3-y9+20

Simplify each term.

Simplify the numerator.

Factor y out of -4y⋅3-y.

Factor y out of -4y⋅3.

y(-4⋅3)-y9+20

Factor y out of -y.

y(-4⋅3)+y⋅-19+20

Factor y out of y(-4⋅3)+y⋅-1.

y(-4⋅3-1)9+20

y(-4⋅3-1)9+20

Multiply -4 by 3.

y(-12-1)9+20

Subtract 1 from -12.

y⋅-139+20

y⋅-139+20

Move -13 to the left of y.

-13⋅y9+20

Move the negative in front of the fraction.

-13y9+20

-13y9+20

-13y9+20

Determine if the expression breaks any of the rules.

Does not break any of the rules

Determine if the expression is a polynomial.

Polynomial

Determine if a Polynomial -4/3*(y-15)-1/9y