simplify (2h+1/2)^2

Solution

simplify

(2 h + \frac{1}{2})^{2}

\frac{( 4 h + 1 ) ^{2}}{4}

Solution steps

(2 h + \frac{1}{2})^{2}

Join

2 h + \frac{1}{2} : \frac{4 h + 1}{2}

= (\frac{4 h + 1}{2})^{2}

Apply exponent rule:

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

= \frac{( 4 h + 1 ) ^{2}}{2 ^{2}}

2^{2} = 4

= \frac{( 4 h + 1 ) ^{2}}{4}

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