Question

State whether the statement is True or False:

$(2x-\frac{3}{5})(2x+\frac{3}{5})$ is equal to $4x^2-\frac{9}{25}$.

• A. True
• B. False

Answer 1

The correct option is A True

Given, $(2x-\frac{3}{5})(2x+\frac{3}{5})$.

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

Then, on multiplying, we get,

$(2x-\frac{3}{5})(2x+\frac{3}{5})$$=(2x{)}^2-(\frac{3}{5}{)}^2$
$=4x^2-\frac{9}{25}$.

Hence, the statement is true.

Therefore, option $A$ is correct.