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Popular >

expand (y-3)^3

Solution

expand

(y - 3)^{3}

Solution

y^{3} - 9 y^{2} + 27 y - 27

Solution steps

(y - 3)^{3}

Apply Perfect Cube Formula:

(a - b)^{3} = a^{3} - 3 a^{2} b + 3 a b^{2} - b^{3}

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

= y^{3} - 3 y^{2} \cdot 3 + 3 y \cdot 3^{2} - 3^{3}

Simplify

y^{3} - 3 y^{2} \cdot 3 + 3 y \cdot 3^{2} - 3^{3} : y^{3} - 9 y^{2} + 27 y - 27

= y^{3} - 9 y^{2} + 27 y - 27

Popular Examples

expand (y+7)^2 expand

(y + 7)^{2}

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2 - 10

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\frac{72}{12}

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8 - (- 2)

simplify 27/36 simplify

\frac{27}{36}

Frequently Asked Questions (FAQ)

What is expand (y-3)^3 ?
The solution to expand (y-3)^3 is y^3-9y^2+27y-27