Consider the given equation,
x2+24x+144=0
x2+12x+12x+144=0
x(x+12)+12(x+12)=0
(x+12)(x+12)=0
x=12,12
Hence, this is the answer.
Factorise:
(i) x2 + 14x + 49; (ii) 4x2 + 4x + 1; (iii) a2 − 10a + 25; (iv) 2x2 − 24x + 72;
(v) p2 − 24p + 144; (vi) x3 − 12x2 + 36x.