Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

difference of perfect squares (level 1) score: 1/4 penalty: none questi…

Question

difference of perfect squares (level 1)
score: 1/4 penalty: none
question
factor completely.
16 - 121x²
answer attempt 1 out of 1

Explanation:

Step1: Identify perfect squares

$16 = 4^2$, $121x^2=(11x)^2$

Step2: Apply difference of squares rule

Use $a^2-b^2=(a-b)(a+b)$, where $a=4$, $b=11x$
$16-121x^2=4^2-(11x)^2=(4-11x)(4+11x)$

Answer:

$(4-11x)(4+11x)$