Question

Find the following squares using the suitable identity.(2x+3y)square​

Answer 1

Given :

An expression $(2x+3y)^{2}$.

To find :

The value of the expression.

Step-by-step explanation:

• The identity that's going to be used is

       $(x+y)^{2} =x^{2} +y^{2} +2xy$

• Substitute the value in the formula

       $(2x+3y)^{2} =(2x)^{2} +(3y)^{2} +2(2x)(3y)$

• Remove the brackets

       $(2x+3y)^{2} =4x^{2} +9y^{2} +12xy$

Final answer :

The final expression is $4x^{2} +9y^{2} +12xy$.