Simplify (y^3-8)/(y-2)

Math
y3-8y-2
Simplify the numerator.
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Rewrite 8 as 23.
y3-23y-2
Since both terms are perfect cubes, factor using the difference of cubes formula, a3-b3=(a-b)(a2+ab+b2) where a=y and b=2.
(y-2)(y2+y⋅2+22)y-2
Simplify.
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Move 2 to the left of y.
(y-2)(y2+2⋅y+22)y-2
Raise 2 to the power of 2.
(y-2)(y2+2y+4)y-2
(y-2)(y2+2y+4)y-2
(y-2)(y2+2y+4)y-2
Cancel the common factor of y-2.
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Cancel the common factor.
(y-2)(y2+2y+4)y-2
Divide y2+2y+4 by 1.
y2+2y+4
y2+2y+4
Simplify (y^3-8)/(y-2)

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