Question

factorize x^2-(a+b)x+ab

Answer 1

x^2-ax-bx+ab
=x (x-a)-b (x-a)
=(x-b)(x-a)

this is your answer

Answer 2

To find,

Factorize the equation: x²-(a+b)x+ ab

Solution,

We can simply solve this mathematical problem by using the following mathematical process.

The method of factorizing the given equation is as follows.

Equation= x²-(a+b)x+ ab

              = x²-ax-bx+ab

              = x(x-a)-b(x-a)  (By taking out common terms)

              = (x-b)(x-a)

Thus, we can factorize the equation x²-(a+b)x+ ab as (x-a)(x-b).