Question

Find the product? -a*2 b*2 c *2(a + b - c)

Answer 1

`-a^3b^2c^2-a^2b^3c^2+a^2b^2c^3` is the answer.

Explanation:

`-a^2b^2c^2(a+b-c)`

Distribute the parantheses.

`=-a^2b^2c^2a-a^2b^2c^2b-a^2b^2c^2(-c)`

Apply minus-plus rules `\ \ \` `-(-a)=a` `\ \ \ \` or`\ \ \ \` `+(-a)=-a`

`=-a^2b^2c^2a-a^2b^2c^2b+a^2b^2c^2c`

Apply the exponent rule `a^b\cdot a^c=a^{b+c}` to get:

`=-a^3b^2c^2-a^2b^3c^2+a^2b^2c^3`