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Popular >

expand (3z+y)^3

Solution

expand

(3 z + y)^{3}

Solution

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

Solution steps

(3 z + y)^{3}

Apply Perfect Cube Formula:

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

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

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

Simplify

(3 z)^{3} + 3 (3 z)^{2} y + 3 \cdot 3 z y^{2} + y^{3} : 27 z^{3} + 27 z^{2} y + 9 z y^{2} + y^{3}

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

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Frequently Asked Questions (FAQ)

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