Question

State whether the statement is True or False.

$(\frac{4}{7}a+\frac{3}{4}b)(\frac{4}{7}a-\frac{3}{4}b)$ is equal to $\frac{16}{49}{a}^2-\frac{9}{16}{b}^2$.

• A. True
• B. False

Answer 1

The correct option is A True

$(\frac{4}{7}a+\frac{3}{4}b)(\frac{4}{7}a-\frac{3}{4}b)=\frac{16}{49}{a}^2-\frac{9}{16}{b}^2+\frac{3}{7}ab-\frac{3}{7}ab=\frac{16}{49}{a}^2-\frac{9}{16}{b}^2$

The given statement is true.