What is (-12t^7+18t^9)/(-6t^3) ?

The solution to (-12t^7+18t^9)/(-6t^3) is -t^4(-2+3t^2)

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simplify (-12t^7+18t^9)/(-6t^3)

simplify

\frac{- 12 t ^{7} + 18 t ^{9}}{- 6 t ^{3}}

- t^{4} (- 2 + 3 t^{2})

Solution steps

\frac{- 12 t ^{7} + 18 t ^{9}}{- 6 t ^{3}}

Factor

- 12 t^{7} + 18 t^{9} : 6 t^{7} (- 2 + 3 t^{2})

= \frac{6 t ^{7} ( - 2 + 3 t ^{2} )}{- 6 t ^{3}}

Cancel the common factor:

6

= \frac{t ^{7} ( - 2 + 3 t ^{2} )}{- t ^{3}}

Apply exponent rule:

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

t^{7} = t^{3} t^{4}

= \frac{t ^{3} t ^{4} ( - 2 + 3 t ^{2} )}{- t ^{3}}

Cancel the common factor:

t^{3}

= \frac{t ^{4} ( - 2 + 3 t ^{2} )}{- 1}

Apply the fraction rule:

\frac{a}{- 1} = - a

= - t^{4} (- 2 + 3 t^{2})

52 \times 42

\frac{1}{5} 5

n \times n

1 + \frac{1}{a}

\frac{7}{3} \cdot 15

What is (-12t^7+18t^9)/(-6t^3) ?
The solution to (-12t^7+18t^9)/(-6t^3) is -t^4(-2+3t^2)