What is ((27x^3-1y^6))/((3x-1y^2)) ?

The solution to ((27x^3-1y^6))/((3x-1y^2)) is 9x^2+3xy^2+y^4

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simplify ((27x^3-1y^6))/((3x-1y^2))

simplify

\frac{( 27 x ^{3} - 1 y ^{6} )}{( 3 x - 1 y ^{2} )}

9 x^{2} + 3 x y^{2} + y^{4}

Solution steps

\frac{27 x ^{3} - 1 \cdot y ^{6}}{3 x - 1 \cdot y ^{2}}

Apply rule:

1 \cdot a = a

= \frac{27 x ^{3} - y ^{6}}{3 x - y ^{2}}

Factor

27 x^{3} - y^{6} : (3 x - y^{2}) (9 x^{2} + 3 x y^{2} + y^{4})

= \frac{( 3 x - y ^{2} ) ( 9 x ^{2} + 3 x y ^{2} + y ^{4} )}{3 x - y ^{2}}

Cancel the common factor:

3 x - y^{2}

= 9 x^{2} + 3 x y^{2} + y^{4}

\frac{( 2 h ^{3} k ^{2} - 6 h ^{4} k ^{5} )}{( 2 h ^{2} k )}

\frac{( 2 x ^{2} - x )}{x}

l [t^{4}]

\frac{( 8 x 1 0 ^{3} )}{( 2 x 1 0 ^{5} )}

(r^{- 7})^{6}

What is ((27x^3-1y^6))/((3x-1y^2)) ?
The solution to ((27x^3-1y^6))/((3x-1y^2)) is 9x^2+3xy^2+y^4