What is ((-30x^{10}+15x^{13}))/((3x^2)) ?

The solution to ((-30x^{10}+15x^{13}))/((3x^2)) is 5x^8(-2+x^3)

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simplify ((-30x^{10}+15x^{13}))/((3x^2))

simplify

\frac{( - 30 x ^{10} + 15 x ^{13} )}{( 3 x ^{2} )}

5 x^{8} (- 2 + x^{3})

Solution steps

\frac{- 30 x ^{10} + 15 x ^{13}}{3 x ^{2}}

Factor

- 30 x^{10} + 15 x^{13} : 15 x^{10} (- 2 + x^{3})

= \frac{15 x ^{10} ( - 2 + x ^{3} )}{3 x ^{2}}

Factor the number:

15 = 3 \cdot 5

= \frac{3 \cdot 5 x ^{10} ( - 2 + x ^{3} )}{3 x ^{2}}

Cancel the common factor:

3

= \frac{5 x ^{10} ( - 2 + x ^{3} )}{x ^{2}}

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

x^{10} = x^{2} x^{8}

= \frac{5 x ^{2} x ^{8} ( - 2 + x ^{3} )}{x ^{2}}

Cancel the common factor:

x^{2}

= 5 x^{8} (- 2 + x^{3})

3 y \cdot x^{6} + 2 x^{4} \cdot y^{2} + 2 x^{2} \cdot y^{4} + y^{6}

(2^{3} a^{8})^{2}

f (x) \cdot x + 3

(- 3 x^{2} + 6 y^{2} - 12 x + 6) + (- 6 y^{2} + 3 x^{2} + 12 x + 6)

(b - c)^{3}

What is ((-30x^{10}+15x^{13}))/((3x^2)) ?
The solution to ((-30x^{10}+15x^{13}))/((3x^2)) is 5x^8(-2+x^3)