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Popular >

expand (5z+5)^3

Solution

expand

(5 z + 5)^{3}

Solution

125 z^{3} + 375 z^{2} + 375 z + 125

Solution steps

(5 z + 5)^{3}

Apply Perfect Cube Formula:

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

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

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

Simplify

(5 z)^{3} + 3 (5 z)^{2} \cdot 5 + 3 \cdot 5 z \cdot 5^{2} + 5^{3} : 125 z^{3} + 375 z^{2} + 375 z + 125

= 125 z^{3} + 375 z^{2} + 375 z + 125

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Frequently Asked Questions (FAQ)

What is expand (5z+5)^3 ?
The solution to expand (5z+5)^3 is 125z^3+375z^2+375z+125