Question

State whether the statement is True or False:

On evaluating $(7x+\frac{2}{3}y)(7x-\frac{2}{3}y)$ we get, $49x^2-\frac{4}{9}{y}^2$.

• A. True
• B. False

Answer 1

The correct option is A True

Given, $(7x+\frac{2}{3}y)(7x-\frac{2}{3}y)$.

We know, $(a+b)(a-b)$ $=(a^2-b^2)$.

Then, on multiplying, we get,

$(7x+\frac{2}{3}y)(7x-\frac{2}{3}y)$$=(7x{)}^2-(\frac{2}{3}y{)}^2$
$=49x^2-\frac{4}{9}{y}^2$.

Hence, the statement is true.

Therefore, option $A$ is correct.