Question

Find the product mentally (ab + 3)^2

Answer 1

Answer:

$a^2b^2+6ab+9$.

Step-by-step explanation:

We have been an expression $(ab+3)^2$ and we are asked to find the product of our given expression.

We can see that our given expression is a perfect square and expanded form of perfect square is:

$(x+y)^2=x^2+2xy+y^2$

We can see that in our given expression $x=ab$ and $y=3$.

Upon writing our given expression in the expanded form of perfect square we will get,

$(ab+3)^2=(ab)^2+(2*ab*3)+3^2$

Using exponent property $(xy)^m=x^my^m$ we will get,

$(ab+3)^2=a^2b^2+6ab+9$

Therefore, the product of our given expression will be $a^2b^2+6ab+9$.

Answer 2

A^2b^2 + 3ab + 3ab + 3^2
= a^2b^2 + 6ab + 9