Question

factorise the following using appropriate identities​

Answer 1

Answer:

$(a) \\ {x}^{2} + 5x + 6 \\ = {x}^{2} + 3x + 2x + 6 \\ = x(x + 3) + 2(x + 3) \\ = (x + 2)(x + 3)$

$(b) \\ 3 {p}^{2} - 24p + 36 \\ = 3( {p}^{2} - 8p + 12) \\ = 3( {p}^{2} - 6p - 2p + 12) \\ = 3 \: (p(p - 6) - 2(p - 6) )\\ = 3(p - 6)(p - 2)$