Respuesta :

We have to complete the statement of

[tex]20ax^2+25ax+15a = 5a\left ( \   \   \   \   \  \    \right )[/tex]

The left hand side is given by

[tex]20ax^2+25ax+15a[/tex]

Now when we take GCF as 5a, then we have to divide each term of the expression with 5a. Thus, we have

[tex]20ax^2+25ax+15a = 5a \left (\frac{20ax^2}{5a}+\frac{25ax}{5a}+\frac{15a}{5a}   \right )\\ \\ 20ax^2+25ax+15a = 5a\left ( 4x^2 +5x+3 \right )[/tex]

Therefore, to complete the statement we need to enter [tex]4x^2 +5x+3[/tex] in the box.