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Popular >

expand (4/3+n)^2

Solution

expand

(\frac{4}{3} + n)^{2}

Solution

\frac{9 n ^{2} + 16 + 24 n}{9}

Solution steps

(\frac{4}{3} + n)^{2}

Apply Perfect Square Formula:

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

(\frac{4}{3} + n)^{2} = (\frac{4}{3})^{2} + 2 \cdot \frac{4}{3} n + n^{2}

= (\frac{4}{3})^{2} + 2 \cdot \frac{4}{3} n + n^{2}

Simplify

(\frac{4}{3})^{2} + 2 \cdot \frac{4}{3} n + n^{2} : \frac{9 n ^{2} + 16 + 24 n}{9}

= \frac{9 n ^{2} + 16 + 24 n}{9}

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Frequently Asked Questions (FAQ)

What is expand (4/3+n)^2 ?
The solution to expand (4/3+n)^2 is (9n^2+16+24n)/9