Question

Factorise: a2b – ac2 –ab +c2

Answer 1

CORRECT QUESTION

Factorise-:

${a}^{2}b - {ac}^{2} - ab + {c}^{2}$

ANSWER

The answer is; (ab-c²) (a-1)

GIVEN

Algebraic equation; a²b - ac² - ab + c²

TO FIND

To factorise the given expresion.

SOLUTION

We can simply solve the above problem as follows;

We are given an expression-

${a}^{2} b - {ac}^{2} - ab + {c}^{2}$

Rearranging the terms;

= a²b - ab - ac² + c²

taking out the common variable;

= ab(a - 1) - c²(a -1)

The above expression can also be written as;

= (ab -c²) (a-1)

Hence, The answer is; (ab-c²) (a-1)

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