Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

simplify the expression. $(7x^5 + 2x^4 - 8x) - (13x - 3x^4 - 3x^5)$ $x^…

Question

simplify the expression.
$(7x^5 + 2x^4 - 8x) - (13x - 3x^4 - 3x^5)$
$x^5 + 5x^4 - 18x$
$7x^5 + 5x^4 - 21x$
$-x^5 + 5x^4 - 21x$
$10x^5 + 5x^4 - 21x$

Explanation:

Step1: Distribute the negative sign

$(7x^5 + 2x^4 - 8x) - 13x + 3x^4 + 3x^5$

Step2: Group like terms

$(7x^5 + 3x^5) + (2x^4 + 3x^4) + (-8x - 13x)$

Step3: Combine like terms

$10x^5 + 5x^4 - 21x$

Answer:

D. $10x^5 + 5x^4 - 21x$