Question

simplify.
$(4x^{2}-3x + 2)-(2x^{2}+5x - 7)$

$2x^{2}-2x - 5$
$2x^{2}-8x + 9$
$2x^{2}+2x - 5$
$6x^{2}+2x - 5$

Explanation:

Step1: Remove parentheses

$(4x^{2}-3x + 2)-(2x^{2}+5x - 7)=4x^{2}-3x + 2-2x^{2}-5x + 7$

Step2: Combine like - terms for $x^{2}$ terms

$4x^{2}-2x^{2}=(4 - 2)x^{2}=2x^{2}$

Step3: Combine like - terms for $x$ terms

$-3x-5x=(-3-5)x=-8x$

Step4: Combine constant terms

$2 + 7=9$

Step5: Write the simplified expression

$2x^{2}-8x + 9$

Answer:

$2x^{2}-8x + 9$