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Find the product mentally.

(ab + 3)^2

1 Answer

3 votes

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.

answered
User Marius Butuc
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