Question

8. Factorise each of the following:
(i) 8a+ b3 +12a+b + 6ab2​

Answer 1

Answer:

${8a}^{3} + {b}^{3} + 12 {a}^{2} b + 6a {b}^{2} \\ \\ = {(2a)}^{3} + {b}^{3} + 3 {(2a)}^{2} b + 3.2a. {b}^{2} \\ \\ = {(2a + b)}^{3} \\ \\ = (2a + b)(2a + b)(2a + b)$