Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

simplify the following expression.$(n - 12)^2$$n^2 + ?n + \\square$

Question

simplify the following expression.$(n - 12)^2$$n^2 + ?n + \square$

Explanation:

Step1: Apply square of difference formula

Recall the formula $(a-b)^2 = a^2 - 2ab + b^2$, here $a=n$, $b=12$.

Step2: Calculate each term

First term: $n^2$
Second term: $-2 \times n \times 12 = -24n$
Third term: $12^2 = 144$

Step3: Combine terms

$(n-12)^2 = n^2 -24n +144$

Answer:

The coefficient of $n$ is $\boldsymbol{-24}$ and the constant term is $\boldsymbol{144}$, so the simplified expression is $n^2 -24n +144$