Question

Factorise a²-(a - b + c)^2

Answer 1

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)

••••

Answer 2

Step-by-step explanation:

a²-(a-b+c)²

=a²-(a²+b²+c²-2ab-2bc+2ac)

=a²-a²-b²-c²+2ab+2bc-2ac

=a²-b²-c²+2ab+2bc-2ac