Question

Subtract.(5x²-5x+1)-(2x² +9x-6)OA. 3x² - 4x+7

OB. 3x² + 4x-5
OC. 3x² +14x-5
OD. 3x²-14x+7
SUBMIT

Answer 1

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Write the given expression

`(5x²-5x+1)-\left(2x²\:+9x-6\right)`

step 2: Perform the subtraction

`\begin{gathered} \mathrm{Apply\:the\:distributive\:law}:\quad \:-\left(a+b\right)=-a-b \\ -\left(2x^2+9x-6\right)=-2x^2-9x+6 \\ =5x^2-5x+1-2x^2-9x+6 \\ \mathrm{Group\:like\:terms} \\ =5x^2-2x^2-5x-9x+1+6 \\ \mathrm{Add\:similar\:elements:}\:5x^2-2x^2=3x^2 \\ =3x^2-5x-9x+1+6 \\ \mathrm{Add\:similar\:elements:}\:-5x-9x=-14x \\ =3x^2-14x+1+6 \\ \mathrm{Add\:the\:numbers:}\:1+6=7 \\ =3x^2-14x+7 \end{gathered}`

Hence, the answer is given as:

`3x^2-14x+7`