What is ((8x^3+18x^2-43x+10))/((4x-5)) ?

The solution to ((8x^3+18x^2-43x+10))/((4x-5)) is 2x^2+7x-2

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simplify ((8x^3+18x^2-43x+10))/((4x-5))

simplify

\frac{( 8 x ^{3} + 18 x ^{2} - 43 x + 10 )}{( 4 x - 5 )}

2 x^{2} + 7 x - 2

Solution steps

\frac{8 x ^{3} + 18 x ^{2} - 43 x + 10}{4 x - 5}

Factor

8 x^{3} + 18 x^{2} - 43 x + 10 : (4 x - 5) (2 x^{2} + 7 x - 2)

= \frac{( 4 x - 5 ) ( 2 x ^{2} + 7 x - 2 )}{4 x - 5}

Cancel the common factor:

4 x - 5

= 2 x^{2} + 7 x - 2

(3 y + 5 z)^{3}

(v^{3})^{- 7}

\frac{( 2 ( f ^{4} ) ^{2} f ^{2} )}{8 f ^{12}}

(4 y^{3})^{2}

64 x^{3} y^{6} + 216 z^{9}

What is ((8x^3+18x^2-43x+10))/((4x-5)) ?
The solution to ((8x^3+18x^2-43x+10))/((4x-5)) is 2x^2+7x-2