Question

Factorise a^2-(b-c)^2​

Answer 1

Answer:

ab

2

−bc

2

−ab+c

2

=ab

2

−ab−bc

2

+c

2

=ab(b−1)−c

2

(b−1)

=(b−1)(ab−c

2

)

Answer 2

Factorisation :

we need to factorize a² - (b - c)²

we know that

• (a - b)² = a² + b² - 2ab

So,

(b - c) can be written as b² + c² - 2bc

›› a² - (b - c)²

›› a² - (a² + b² - 3bc)

›› a² - a² - b² + 3bc

›› - b² + 3bc

›› - b(b - 3c)

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