Question

Simplify the following polynomial and write the answer in standard form.
(4x^3+4x^2-x-3)-(3x^3-2x^2+2)

a. -x-1+7x^3+2x^2
b. 7x^3+2x^2-x-1
c. -5+x^3+6x^2-x
d. x^3+6x^2-x-5

Answer 1

i'm thinking d?

Answer 2

(4x^3+4x^2-x-3)-(3x^3-2x^2+2)

Place the understood 1's to apply distributive property.

1(4x^3+4x^2-x-3) = 4x^3+4x^2-x-3

-1(3x^3-2x^2+2) = -3x^3 + 2x^2 - 2

Now combine like terms: \(\ \sf \Large 4x^3+4x^2-x-3 - 3x^3 + 2x^2 - 2 \)

Answer 3

Yeah, d is correct ;D