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Popular >

simplify (1/2 a+3)^2

Solution

simplify

(\frac{1}{2} a + 3)^{2}

Solution

\frac{a ^{2}}{4} + 3 a + 9

Solution steps

(\frac{1}{2} a + 3)^{2}

\frac{1}{2} a = \frac{a}{2}

= (\frac{a}{2} + 3)^{2}

Apply Perfect Square Formula:

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

a = \frac{a}{2}, b = 3

= (\frac{a}{2})^{2} + 2 \cdot \frac{a}{2} \cdot 3 + 3^{2}

Simplify

(\frac{a}{2})^{2} + 2 \cdot \frac{a}{2} \cdot 3 + 3^{2} : \frac{a ^{2}}{4} + 3 a + 9

= \frac{a ^{2}}{4} + 3 a + 9

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Frequently Asked Questions (FAQ)

What is (1/2 a+3)^2 ?
The solution to (1/2 a+3)^2 is (a^2)/4+3a+9