Find the product mentally
(ab + 3)^2
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 \(a^2b^2+6ab+9\).