What is (64k^3-1)/(4k^2-13k+3) ?

The solution to (64k^3-1)/(4k^2-13k+3) is (16k^2+4k+1)/(k-3)

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simplify (64k^3-1)/(4k^2-13k+3)

simplify

\frac{64 k ^{3} - 1}{4 k ^{2} - 13 k + 3}

\frac{16 k ^{2} + 4 k + 1}{k - 3}

Solution steps

\frac{64 k ^{3} - 1}{4 k ^{2} - 13 k + 3}

Factor

64 k^{3} - 1 : (4 k - 1) (16 k^{2} + 4 k + 1)

= \frac{( 4 k - 1 ) ( 16 k ^{2} + 4 k + 1 )}{4 k ^{2} - 13 k + 3}

Factor

4 k^{2} - 13 k + 3 : (4 k - 1) (k - 3)

= \frac{( 4 k - 1 ) ( 16 k ^{2} + 4 k + 1 )}{( 4 k - 1 ) ( k - 3 )}

Cancel the common factor:

4 k - 1

= \frac{16 k ^{2} + 4 k + 1}{k - 3}

\frac{7}{6} + 2

2 x (1 + x) - (2 x - 4) + x^{2}

\frac{8}{40}

p^{3} (p^{2} - p^{- 3})

3 x^{2} \cdot 6

What is (64k^3-1)/(4k^2-13k+3) ?
The solution to (64k^3-1)/(4k^2-13k+3) is (16k^2+4k+1)/(k-3)