Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

rewrite without parentheses and simplify. $(v - 9x)^2$

Question

rewrite without parentheses and simplify.
$(v - 9x)^2$

Explanation:

Step1: Apply square of difference formula

Recall that $(a-b)^2 = a^2 - 2ab + b^2$. Here, $a = v$, $b = 9x$.

Step2: Compute each term

$a^2 = v^2$, $2ab = 2(v)(9x) = 18vx$, $b^2 = (9x)^2 = 81x^2$

Step3: Substitute into the formula

$(v-9x)^2 = v^2 - 18vx + 81x^2$

Answer:

$v^2 - 18vx + 81x^2$