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Popular >

expand (2+3y)^3

Solution

expand

(2 + 3 y)^{3}

Solution

8 + 36 y + 54 y^{2} + 27 y^{3}

Solution steps

(2 + 3 y)^{3}

Apply Perfect Cube Formula:

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

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

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

Simplify

2^{3} + 3 \cdot 2^{2} \cdot 3 y + 3 \cdot 2 (3 y)^{2} + (3 y)^{3} : 8 + 36 y + 54 y^{2} + 27 y^{3}

= 8 + 36 y + 54 y^{2} + 27 y^{3}

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Frequently Asked Questions (FAQ)

What is expand (2+3y)^3 ?
The solution to expand (2+3y)^3 is 8+36y+54y^2+27y^3