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

1 Answer
Feb 22, 2018

-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