Question

factorisation of x2+(a+b)x+ab=​

Answer 1

Answer:

Given

$x {}^{2} + (a + b)x + ab \\ = x {}^{2} + ax + bx + ab \\ = (x {}^{2} + a x) + (bx + ab) \\ = x(x + a) + b(x + a) \\ = (x + b)(x + a)$

I hope it will help.

Answer 2

${x}^{2} + (a \: + \: b)x \: + ab \\ {x}^{2} + ax \: + bx \: + ab \\ x(x + a) \: \: + b \: (x + a) \\ (x + a) \: (x + b) \: \: \: \: \: \: \: \:$