Question

Simplify: a(a+b^2+c)- b^2 (a+b+c)–c(a+b^2 )

Answer 1

Answer:

ANSWER

(ab+bc)2−2ab2c

Using,

(a+b)2=a2+2ab+b2 we get,

=(ab)2+2(ab)(bc)+(bc)2−2ab2c

=a2b2+2ab2c+b2c2−2ab2c

=a2b2+b2c2

Answer 2

$\huge\star\underbrace{\mathtt\red{A} \mathtt\red{n} \mathtt\red{s} \mathtt\red{w} \mathtt\red{e} \mathtt\red{r}} \star\:$

➛a(a+b²+c)- b²(a+b+c)–c(a+b²)

= a² + ab² + ac - ab² + b³ + b²c -ac - b²c

= a² + b³