Question

simplify: a^2(b^2-c^2)+b^2(c^2-a^2)+c^2(a^2-b^2)



urgent

Answer 1

Answer:

0

Step-by-step explanation:

Distribute:

=(a2)(b2)+(a2)(−c2)+(b2)(c2)+(b2)(−a2)+(c2)(a2)+(c2)(−b2)

=a2b2+−a2c2+b2c2+−a2b2+a2c2+−b2c2

Combine Like Terms:

=a2b2+−a2c2+b2c2+−a2b2+a2c2+−b2c2

=(a2b2+−a2b2)+(−a2c2+a2c2)+(b2c2+−b2c2)

Answer:

=0

Answer 2

Explaination

a² ( b² - c² ) + b² ( c² - a² ) + c² ( a² - b² )

a²( b²- c²)+ b² ( -a² + c²) + c² ( a² - b²)

==> a²b² - a²c² - a²b² + b²c² + a²c² - b²c²

b²c²

==> 0

All is eliminated.