Question

State whether the statement is True or False:

The square of $(8x+\frac{3}{2}y)$ is equal to $64x^2+24xy+\frac{9}{4}{y}^2$.

• A. True
• B. False

Answer 1

The correct option is A True

Given, square of $(8x+\frac{3}{2}y)$,

i.e. $(8x+\frac{3}{2}y{)}^2$.

We know. $(a+b{)}^2=a^2+2ab+b^2$.

Then,

$(8x+\frac{3}{2}y{)}^2$

$=(8x{)}^2+2(8x\left)\right(\frac{3}{2}y)+(\frac{3}{2}y{)}^2$

$=64x^2+24xy+\frac{9}{4}{y}^2$.

Here, the statement is true.

Therefore, option $A$ is correct.