Question

State whether the statement is True or False:

$(6-xy)(6+xy)$ is equal to $36-x^2{y}^2$.

• A. True
• B. False

Answer 1

The correct option is A True

Given, $(6-xy)(6+xy)$.

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

Here, $a=6$ and $b=xy$.

Then, on applying the identity,

$(6-xy)(6+xy)=(6{)}^2-(xy{)}^2=36-x^2{y}^2.$

That is, the statement is true.

Therefore, option $A$ is correct.