What is $(-12z^6u^6 + 15z^6u^3) -: (-4z^4u^5)$ ?

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Answer 1 · 2016-12-02T03:38:14

$3z^2u -(15z^2)/(4u^2$

The problem can also be written as:

$frac{-12z^6u^6+15z^6u^3}{-4z^4u^5}$

Then divide each of the 2 terms in the numerator by the single term in the denominator:

$frac{-12z^6u^6}{-4z^4u^5}+frac{15z^6u^3}{-4z^4u^5}$

First reduce the coeffiecients.

$-12/-4= 3$ and $(15)/-4=-15/4$

$frac{3z^6u^6}{z^4u^5}-frac{15z^6u^3}{4z^4u^5}$

Now recall the exponent rule $x^a/x^b=x^(a-b)$
If $a>b$ , put the variable in the numerator.
If $a< b$ , put the variable in the denominator.

$3z^(6-4)u^(6-5)-frac{15z^(6-4)}{4u^(5-3)}$

$3z^2u -(15z^2)/(4u^2$

What is (-12z^6u^6 + 15z^6u^3) -: (-4z^4u^5)(-12z^6u^6 + 15z^6u^3) -: (-4z^4u^5)?