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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

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Frequently Asked Questions (FAQ)

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