What is (36z^7-24z^3)/(4z^3) ?

The solution to (36z^7-24z^3)/(4z^3) is 9z^4-6

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simplify (36z^7-24z^3)/(4z^3)

simplify

\frac{36 z ^{7} - 24 z ^{3}}{4 z ^{3}}

9 z^{4} - 6

Solution steps

\frac{36 z ^{7} - 24 z ^{3}}{4 z ^{3}}

Factor

36 z^{7} - 24 z^{3} : 12 z^{3} (3 z^{4} - 2)

= \frac{12 z ^{3} ( 3 z ^{4} - 2 )}{4 z ^{3}}

Cancel the common factor:

z^{3}

= \frac{12 ( 3 z ^{4} - 2 )}{4}

Divide the numbers:

\frac{12}{4} = 3

= 3 (3 z^{4} - 2)

Expand

3 (3 z^{4} - 2) : 9 z^{4} - 6

= 9 z^{4} - 6

(\frac{2 x + y}{18})^{3}

(lo g_{2} (x))^{2} - lo g_{2} (x^{3}) - 18

x - 23 + 6 x^{2} + 9

y^{4} - 41 y^{2} + 400

(- 2 a - 5 b)^{3}