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Popular >

expand (4+y)^3

Solution

expand

(4 + y)^{3}

Solution

64 + 48 y + 12 y^{2} + y^{3}

Solution steps

(4 + y)^{3}

Apply Perfect Cube Formula:

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

(4 + y)^{3} = 4^{3} + 3 \cdot 4^{2} y + 3 \cdot 4 y^{2} + y^{3}

= 4^{3} + 3 \cdot 4^{2} y + 3 \cdot 4 y^{2} + y^{3}

Simplify

4^{3} + 3 \cdot 4^{2} y + 3 \cdot 4 y^{2} + y^{3} : 64 + 48 y + 12 y^{2} + y^{3}

= 64 + 48 y + 12 y^{2} + y^{3}

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Frequently Asked Questions (FAQ)

What is expand (4+y)^3 ?
The solution to expand (4+y)^3 is 64+48y+12y^2+y^3