Question

26. Factorise a) 36y2-49z2 b) x2-7x+10​

Answer 1

Answer:

$a) \: \: 36y {}^{2} - 49z {}^{2} \\ (6y) {}^{2} - (7z) {}^{2} \\ (6y - 7z)(6y + 7z) \\ b) \: \: x {}^{2} - 7x + 10 \\ x {}^{2} - 2x - 5x + 10 \\ x(x - 2) - 5(x - 2) \\ (x - 5)(x - 2)$

Answer 2

x2 - 7x + 10

= x2 - 5x - 2x + 10

= X(x - 5) - 2(x - 5)

= (X - 5) (x - 2)

= (X - 5) = 0 ; (x - 2) = 0

= X = 5 ; x = 2