Question

Factorize

a(a-b+c)-bc​

Answer 1

Answer:

$\huge\underline\bold\red{Answer!!}$

$<font color="blue">$A(a+b-c)-bc

=a^2+ab-ac-bc

=(a^2+ab)+(-ac-bc)

=a(a+b)-c(a+b) (by taking common)

=(a+b)(a-c)

Answer 2

QUESTION :-

Factorize

a(a-b+c)-bc

ANSWER :-

$a(a-b+c)\:-bc \: \\ = > {a}^{2} - ab + ac - bc \\ = > {a}^{2} + ac \: - ab - bc \\ = > a(a + c) - b(a + c) \\ = > (a + c)(a - b)$

Hence the factor of a(a-b+c)-bc is ( a+c) (a-b)

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