Question

question 7 of 10
which of the binomials below is a factor of this expression?
100a² - 49b²
a 10a + 7b
b a + b
c 10a + b
d a + 7b

Explanation:

Step1: Recognize difference - of - squares formula

The expression $100A^{2}-49B^{2}$ is in the form $a^{2}-b^{2}$, where $a = 10A$ and $b = 7B$. The difference - of - squares formula is $a^{2}-b^{2}=(a + b)(a - b)$.

Step2: Factor the given expression

Substituting $a = 10A$ and $b = 7B$ into the formula, we get $100A^{2}-49B^{2}=(10A + 7B)(10A-7B)$.

Answer:

A. $10A + 7B$