Factorise a²-(a - b + c)^2 – InterviewSolution

1.	Factorise a²-(a - b + c)^2
Answer» ong>Answer: Answer: a²-(b-c)² = (a+b-c)(a-b+c) Explanation: FACTORISING a²-(b-c)² _______________________ we know the algebraic identity: \BOXED {X^{2}-y^{2}=(x+y)(x-y)} x 2 −y 2 =(x+y)(x−y) _______________________ = [a+(b-c)][a-(b-c)] = (a+b-c)(a-b+c) THEREFORE, a²-(b-c)² = (a+b-c)(a-b+c) ••••

Factorise a²-(a - b + c)^2

Answer»

ong>Answer:

Answer:

a²-(b-c)² = (a+b-c)(a-b+c)

Explanation:

FACTORISING a²-(b-c)²

_______________________

we know the algebraic identity:

\BOXED {X^{2}-y^{2}=(x+y)(x-y)}

−y

=(x+y)(x−y)

_______________________

= [a+(b-c)][a-(b-c)]

= (a+b-c)(a-b+c)

a²-(b-c)² = (a+b-c)(a-b+c)

••••