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Popular >

simplify (a/2+b/3+c/4)^2

Solution

simplify

(\frac{a}{2} + \frac{b}{3} + \frac{c}{4})^{2}

Solution

\frac{( 6 a + 4 b + 3 c ) ^{2}}{144}

Solution steps

(\frac{a}{2} + \frac{b}{3} + \frac{c}{4})^{2}

Simplify

\frac{a}{2} + \frac{b}{3} + \frac{c}{4} : \frac{6 a + 4 b + 3 c}{12}

= (\frac{6 a + 4 b + 3 c}{12})^{2}

Apply exponent rule:

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

= \frac{( 6 a + 4 b + 3 c ) ^{2}}{1 2 ^{2}}

1 2^{2} = 144

= \frac{( 6 a + 4 b + 3 c ) ^{2}}{144}

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Frequently Asked Questions (FAQ)

What is (a/2+b/3+c/4)^2 ?
The solution to (a/2+b/3+c/4)^2 is ((6a+4b+3c)^2)/(144)