What is ((6x^3-22x^2+2x+56))/((6x+8)) ?

The solution to ((6x^3-22x^2+2x+56))/((6x+8)) is (3x^3-11x^2+x+28)/(3x+4)

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simplify ((6x^3-22x^2+2x+56))/((6x+8))

simplify

\frac{( 6 x ^{3} - 22 x ^{2} + 2 x + 56 )}{( 6 x + 8 )}

\frac{3 x ^{3} - 11 x ^{2} + x + 28}{3 x + 4}

Solution steps

\frac{6 x ^{3} - 22 x ^{2} + 2 x + 56}{6 x + 8}

Factor

6 x^{3} - 22 x^{2} + 2 x + 56 : 2 (3 x^{3} - 11 x^{2} + x + 28)

= \frac{2 ( 3 x ^{3} - 11 x ^{2} + x + 28 )}{6 x + 8}

Factor

6 x + 8 : 2 (3 x + 4)

= \frac{2 ( 3 x ^{3} - 11 x ^{2} + x + 28 )}{2 ( 3 x + 4 )}

Cancel the common factor:

2

= \frac{3 x ^{3} - 11 x ^{2} + x + 28}{3 x + 4}

(\frac{x ^{3}}{6})^{3}

\frac{( x ) ( cos ^{2} ( x ) )}{( sin ^{2} ( x ) )}

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

(x + 0.3) (x - 0.3)

f (\frac{1}{t})

What is ((6x^3-22x^2+2x+56))/((6x+8)) ?
The solution to ((6x^3-22x^2+2x+56))/((6x+8)) is (3x^3-11x^2+x+28)/(3x+4)