Question

Factorise using suitable identities. (i) (a – b)^2 + 4ab (ii) m^2 - 256

Answer 1

Answer:

(I)

${(a + b)}^{2}$

(ii)

$(m + 16) \times (m - 16)$

Step-by-step explanation:

(I)

$( {a - b)}^{2} + 4ab \\ = {a}^{2} + {b}^{2} - 2ab + 4ab \\ = {a}^{2} + {b}^{2} + 2ab \\ = {(a + b)}^{2}$

(ii)

${m}^{2} - 256 = {m}^{2} - {16}^{2} \\ \: = (m + 16)(m - 16)$