Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

simplify. $(-4u^2 + 5u - 7) + (6u^2 + u + 3)$

Question

simplify.
$(-4u^2 + 5u - 7) + (6u^2 + u + 3)$

Explanation:

Step1: Remove parentheses

$-4u^2 + 5u - 7 + 6u^2 + u + 3$

Step2: Combine like $u^2$ terms

$(-4u^2 + 6u^2) + 5u - 7 + u + 3 = 2u^2 + 5u - 7 + u + 3$

Step3: Combine like $u$ terms

$2u^2 + (5u + u) - 7 + 3 = 2u^2 + 6u - 7 + 3$

Step4: Combine constant terms

$2u^2 + 6u + (-7 + 3) = 2u^2 + 6u - 4$

Answer:

$2u^2 + 6u - 4$