Find the product? -a2 b2 c *2(a + b - c)

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Answer 1 · 2018-02-22T02:33:41

$- a^{3} b^{2} c^{2} - a^{2} b^{3} c^{2} + a^{2} b^{2} c^{3}$ $-a^3b^2c^2-a^2b^3c^2+a^2b^2c^3$ is the answer.

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

Distribute the parantheses.

$= - a^{2} b^{2} c^{2} a - a^{2} b^{2} c^{2} b - a^{2} b^{2} c^{2} (- c)$ $=-a^2b^2c^2a-a^2b^2c^2b-a^2b^2c^2(-c)$

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:

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

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