Question

Using a suitable identity, find the following product:
$(2m+3)(2m+3)$

Answer 1

The given binomials are $(2m+3)$ and $(2m+3)$

Their product will be $(2m+3)(2m+3)$

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

For the above expression, keeping $a=2m$ and $b=3$, we get:

$(2m+3)(2m+3)=4m^2+12m+9$

Hence, the product of the given binomials is $4m^2+12m+9$.