What is factor 1+y^3 ?

The solution to factor 1+y^3 is (y+1)(y^2-y+1)

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factor 1+y^3

factor

1 + y^{3}

(y + 1) (y^{2} - y + 1)

Solution steps

1 + y^{3}

Write in the standard form

= y^{3} + 1

Rewrite

1

1^{3}

= y^{3} + 1^{3}

Apply Sum of Cubes Formula:

x^{3} + y^{3} = (x + y) (x^{2} - x y + y^{2})

y^{3} + 1^{3} = (y + 1) (y^{2} - y + 1)

= (y + 1) (y^{2} - y + 1)

\frac{4 x ^{2}}{x ^{3}}

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(a^{5})^{3}