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Popular >

factor (y+3)^3+8

Solution

factor

(y + 3)^{3} + 8

Solution

(y + 5) (y^{2} + 4 y + 7)

Solution steps

(y + 3)^{3} + 8

Rewrite

8

as

2^{3}

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

Apply Sum of Cubes Formula:

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

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

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

Refine

= (y + 5) ((y + 3)^{2} - 2 (y + 3) + 4)

Expand

(y + 3)^{2} - 2 (y + 3) + 4 : y^{2} + 4 y + 7

= (y + 5) (y^{2} + 4 y + 7)

Popular Examples

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(z + 4)^{3} - 64

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e^{2} - e (2)

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1 + 100 + \frac{0}{0.0004}

factor pi+(-0.35383)factor

π + (- 0.35383)

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Frequently Asked Questions (FAQ)

What is factor (y+3)^3+8 ?
The solution to factor (y+3)^3+8 is (y+5)(y^2+4y+7)