Question

(6a-11b)^2-(6a+11b)^2+264ab

Answer 1

Answer:

$(6a-11b)^2-(6a+11b)^2+264ab=0$

Step-by-step explanation:

Given : $(6a-11b)^2-(6a+11b)^2+264ab$

We have to write the given expression in simplified from.

Using algebraic identity, $(a-b)^2=a^2+b^2-2ab$

$=36a^2-132ab+121b^2-\left(6a+11b\right)^2+264ab$

Again applying , we get,

$=36a^2-132ab+121b^2-\left(36a^2+132ab+121b^2\right)+264ab$

Simplify, we get,

$=36a^2-132ab+121b^2-36a^2-132ab-121b^2+264ab$

Simplify, we have,

= 0

Thus, $(6a-11b)^2-(6a+11b)^2+264ab=0$