Question

factories a²(b+c)-(b+c)²

Answer 1

Heres your answer

${a}^{2} (b + c) - (b + c) ^{2} \\ \\ {a}^{2} (b + c) - ( {b}^{2} + {c}^{2} + 2bc) \\ \\ {a}^{2} (b + c) - {b}^{2} - {c}^{2} - 2bc \\ \\ {a}^{2} b + {a}^{2} c - {b}^{2} - {c}^{2} - 2bc$
Heres

${a}^{2} b +{a}^{2 }c- {b}^{2} -{c}^{2} -2bc$

$So // a^2b - b^2 +a^2 c - c^2 -2bc = b (a^2-b) + c( a^2 - c) - 2bc$

Answer 2

answer:
=(b+c)[a^2-(b+c)]
=(b+c)(a^2-b-c)