Question

factorise the following using appropriate identities a m square + 8 + 16 b 4 square minus 90 square

Answer 1

hey here is your answer


(a) m^2 +8m+16

=(m)^2 + 2(m)(4) + (4)^2

=(m+4)^2 (using a^2+2ab+b^2=(a+b)^2 identity)

(b) 4p^2 - 3q^2

= (2p)^2 - (3q)^2
= (2p + 3q) (2p - 3q)

22. (9p - 5q)^2 + 180pq = (9p + 5q)^2

(9p)^2 - 2(9q)(5q) + (5q)^2 + 180pq = (9p+5q)^2

81p^2 - 90pq + 25q^2 +180pq = (9p + 5q)^2

81p^2 + 90pq + 25q^2 = (9p+5q)^2

(9p + 5q)^2 = (9p +5q)^2

Hope it helps you friend .
Have a great day.