Question

a to the power 2 (b-c) +b(c-b)

Answer 1

$= > {a}^{2} (b - c) + b(c - b) \\ \\ = > (b - c)( {a}^{2} - b)$
__________________[ANSWER]

Answer 2

$\bold{Answer :}$

Now,

a² (b - c) + b (c - b)

= a² (b - c) + b {- ( - c + b )}

= a² (b - c) - b (b - c)

= (b - c) (a² - b),

which is the required factorization.

Also,

a² (b - c) + b (c - b)

= a²b - a²c + bc - b²,

which is a simplified form.

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