Question

1. Factorise the following using identities.
a) x2 + 12x + 36 b) p2 + 8p + 16
c) 22 – 102 + 25 d) 25s2 + 30s +9
e)
) 10062 – 60bc + 9c2 f) p4 + 2p²q2 + 94
g) 3622 – 49x2 h) 196p2-121q2​

Answer 1

Answer:

a. x²+12x+36

= x²+6x+6x+36

= x(x+6)+6(x+6)

= (x+6)(x+6)

b. p²+8p+16

= p²+4p+4p+16

= p(p+4)+4(p+4)

= (p+4)(p+4)