Can anyone help me with this question?

Factor completely. 4p^2 + 36p + 81 express the answer in the form (ap + b)^2

If f(x)=x^3 and g(x)=2x+7 when g(x)=-5

Which approach to the theory-and-research cycle does the following sequence reflect: (1) specific observations suggest generalizations, (2) generalizations produce a tentative theory, (3) the theory is tested through the formation of hypotheses, and (4) hypotheses may provide suggestions for additional observations?