Question

unit 7 review assignment
topic 2: simplifying polynomials

1. (2a + 7)²

Explanation:

Step1: Recall the square of a binomial formula

The formula for \((x + y)^2\) is \(x^2 + 2xy + y^2\). Here, \(x = 2a\) and \(y = 7\).

Step2: Substitute \(x\) and \(y\) into the formula

First, calculate \(x^2=(2a)^2 = 4a^2\). Then, calculate \(2xy = 2\times(2a)\times7=28a\). Next, calculate \(y^2 = 7^2 = 49\).

Step3: Combine the terms

Add the three terms together: \(4a^2+28a + 49\).

Answer:

\(4a^2 + 28a + 49\)