Question

Simplify

$a {}^{2} (a - b + c) + b {}^{2} (a + b - c) - c {}^{2} (a - b - c)$
​

Answer 1

Answer :

a²(a - b + c) + b² (a + b - c) - c²(a - b - c)

= a³ - a²b + a²c + ab² + b³ - b²c - ac² + bc² + c³

a²(a - b + c) + b² (a + b - c) - c²(a - b - c) = a³ - a²b + a²c + ab² + b³ - b²c - ac² + bc² + c³