What is expand (3y+5z)^3 ?

The solution to expand (3y+5z)^3 is 27y^3+135y^2z+225yz^2+125z^3

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expand (3y+5z)^3

expand

(3 y + 5 z)^{3}

27 y^{3} + 135 y^{2} z + 225 y z^{2} + 125 z^{3}

Solution steps

(3 y + 5 z)^{3}

Apply Perfect Cube Formula:

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

(3 y + 5 z)^{3} = (3 y)^{3} + 3 (3 y)^{2} \cdot 5 z + 3 \cdot 3 y (5 z)^{2} + (5 z)^{3}

= (3 y)^{3} + 3 (3 y)^{2} \cdot 5 z + 3 \cdot 3 y (5 z)^{2} + (5 z)^{3}

Simplify

(3 y)^{3} + 3 (3 y)^{2} \cdot 5 z + 3 \cdot 3 y (5 z)^{2} + (5 z)^{3} : 27 y^{3} + 135 y^{2} z + 225 y z^{2} + 125 z^{3}

= 27 y^{3} + 135 y^{2} z + 225 y z^{2} + 125 z^{3}

(v^{3})^{- 7}

\frac{( 2 ( f ^{4} ) ^{2} f ^{2} )}{8 f ^{12}}

(4 y^{3})^{2}

64 x^{3} y^{6} + 216 z^{9}

x + x^{2} - x \cdot y^{2} - y^{2}

What is expand (3y+5z)^3 ?
The solution to expand (3y+5z)^3 is 27y^3+135y^2z+225yz^2+125z^3