Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

21. distribute and simplify (1 - 8m)^2. (1 - 8m)^2 = enter your next st…

Question

  1. distribute and simplify (1 - 8m)^2. (1 - 8m)^2 = enter your next step here

Explanation:

Step1: Apply the formula $(a - b)^2=a^2-2ab + b^2$

Here $a = 1$ and $b = 8m$, so $(1 - 8m)^2=1^2-2\times1\times8m+(8m)^2$.

Step2: Simplify each term

$1^2 = 1$, $-2\times1\times8m=-16m$, $(8m)^2 = 64m^2$. Then $1^2-2\times1\times8m+(8m)^2=1-16m + 64m^2$.

Answer:

$1-16m + 64m^2$