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

Question

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

1 Answer

Impact of this question

1211 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-12-02T03:38:14

$3 z^{2} u - \frac{15 z^{2}}{4 u^{2}}$ $3z^2u -(15z^2)/(4u^2$

Explanation:

The problem can also be written as:

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

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

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

First reduce the coeffiecients.

$- \frac{12}{- 4} = 3$ $-12/-4= 3$ and $\frac{15}{- 4} = - \frac{15}{4}$ $(15)/-4=-15/4$

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

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

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

$3 z^{2} u - \frac{15 z^{2}}{4 u^{2}}$ $3z^2u -(15z^2)/(4u^2$

Science

Math

Humanities

... and beyond

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

1 Answer

Explanation:

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

What is (−12z6u6+15z6u3)÷(−4z4u5)(-12z^6u^6 + 15z^6u^3) -: (-4z^4u^5)?

1 Answer

Explanation:

Related questions

Impact of this question

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