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Popular >

simplify [3 x/4+2 y/4 ]^3

Solution

simplify

[3 \frac{x}{4} + 2 \frac{y}{4}]^{3}

Solution

\frac{( 3 x + 2 y ) ^{3}}{64}

Solution steps

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

Simplify

3 \cdot \frac{x}{4} + 2 \cdot \frac{y}{4} : \frac{3 x + 2 y}{4}

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

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

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

4^{3} = 64

= \frac{( 3 x + 2 y ) ^{3}}{64}

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Frequently Asked Questions (FAQ)

What is [3 x/4+2 y/4 ]^3 ?
The solution to [3 x/4+2 y/4 ]^3 is ((3x+2y)^3)/(64)