Question

a^2(b+c)-(b+c)^3 factorise difference of two squares please it is so urgent

Answer 1

$\red{ a^2(b+c)-(b+c)^{3} }\\= (b+c)[a^{2} - (b+c)^{2} ] \\= (b+c)[a+(b+c)][a-(b+c)]$

/* By Algebraic Identity */

$\boxed {\pink{ x^{2} - y^{2} = (x+y)(x-y) }}$

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

Therefore.,

$\red{ Factors \:of \: a^2(b+c)-(b+c)^{3}}\\\green {= (b+c)(a+b+c)(a-b-c)}$

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