Respuesta :
Answer:
[tex]a^2b^2+6ab+9[/tex].
Step-by-step explanation:
We have been an expression [tex](ab+3)^2[/tex] 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:
[tex](x+y)^2=x^2+2xy+y^2[/tex]
We can see that in our given expression [tex]x=ab[/tex] and [tex]y=3[/tex].
Upon writing our given expression in the expanded form of perfect square we will get,
[tex](ab+3)^2=(ab)^2+(2*ab*3)+3^2[/tex]
Using exponent property [tex](xy)^m=x^my^m[/tex] we will get,
[tex](ab+3)^2=a^2b^2+6ab+9[/tex]
Therefore, the product of our given expression will be [tex]a^2b^2+6ab+9[/tex].
