Question

If the given expression of the form x2+(a+b)x+ab then it's factorisation

Answer 1

Answer:

(x+a)(x+b)

Explanation:

x²+(a+b)x+ab

= x²+ax+bx+ab

= x(x+a) + b(x+a)

= (x+a)(x+b)

Therefore,

x²+(a+b)x+ab = (x+a)(x+b)

••••

Answer 2

x²+ax+bx+ab=0

x(x+a)+b(x+a)=0

(x+a)(x+b)=0

x=-a,x=-b