Question

to factor $9x^{2}-16$, you can first rewrite the expression as:
a $(3x)^{2}-(4)^{2}$
b $(3x - 4)^{2}$
c $(3x)^{2}-(4)$
d none of the above

Explanation:

Step1: Recall square - root of terms

Recall that $\sqrt{9x^{2}} = 3x$ and $\sqrt{16}=4$.

Step2: Rewrite expression

The expression $9x^{2}-16$ can be rewritten as $(3x)^{2}-(4)^{2}$ using the property $\sqrt{a^{2}}=a$ for non - negative $a$.

Answer:

A. $(3x)^{2}-(4)^{2}$