Question

Factorize each of the following algebraic expression:
36a² + 36a + 9

Answer 1

$$\begin{gathered} 36{\mathrm{a}}^2+36\mathrm{a}+9 \\ =9(4{\mathrm{a}}^2+4\mathrm{a}+1) \\ =9\left\{(2\mathrm{a}{)}^2+2\times 2\mathrm{a}\times 1+1^2\right\} \\ =9(2\mathrm{a}+1{)}^2 \\ =9(2\mathrm{a}+1\left)\right(2\mathrm{a}+1) \end{gathered}$$