What is ((-9d^4-33d^3+27d^2))/((3d^4)) ?

The solution to ((-9d^4-33d^3+27d^2))/((3d^4)) is (-3d^2-11d+9)/(d^2)

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simplify ((-9d^4-33d^3+27d^2))/((3d^4))

simplify

\frac{( - 9 d ^{4} - 33 d ^{3} + 27 d ^{2} )}{( 3 d ^{4} )}

\frac{- 3 d ^{2} - 11 d + 9}{d ^{2}}

Solution steps

\frac{- 9 d ^{4} - 33 d ^{3} + 27 d ^{2}}{3 d ^{4}}

Factor

- 9 d^{4} - 33 d^{3} + 27 d^{2} : 3 d^{2} (- 3 d^{2} - 11 d + 9)

= \frac{3 d ^{2} ( - 3 d ^{2} - 11 d + 9 )}{3 d ^{4}}

Cancel the common factor:

3

= \frac{d ^{2} ( - 3 d ^{2} - 11 d + 9 )}{d ^{4}}

Apply exponent rule:

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

d^{4} = d^{2} d^{2}

= \frac{d ^{2} ( - 3 d ^{2} - 11 d + 9 )}{d ^{2} d ^{2}}

Cancel the common factor:

d^{2}

= \frac{- 3 d ^{2} - 11 d + 9}{d ^{2}}

8 x + 16 y + 52

2 x^{4} - 7 x^{3} + 3 x^{2}

3 x \cdot 2 y

30 x^{3} - 31 x^{2} + 10 x - 1

2 x^{29} x^{26153} r + x^{6}

What is ((-9d^4-33d^3+27d^2))/((3d^4)) ?
The solution to ((-9d^4-33d^3+27d^2))/((3d^4)) is (-3d^2-11d+9)/(d^2)