What is expand ((m+12)^2)/((n+2)^4) ?

The solution to expand ((m+12)^2)/((n+2)^4) is (m^2+24m+144)/(n^4+8n^3+24n^2+32n+16)

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expand ((m+12)^2)/((n+2)^4)

expand

\frac{( m + 12 ) ^{2}}{( n + 2 ) ^{4}}

\frac{m ^{2} + 24 m + 144}{n ^{4} + 8 n ^{3} + 24 n ^{2} + 32 n + 16}

Solution steps

\frac{( m + 12 ) ^{2}}{( n + 2 ) ^{4}}

(n + 2)^{4} = n^{4} + 8 n^{3} + 24 n^{2} + 32 n + 16

= \frac{( m + 12 ) ^{2}}{n ^{4} + 8 n ^{3} + 24 n ^{2} + 32 n + 16}

(m + 12)^{2} = m^{2} + 24 m + 144

= \frac{m ^{2} + 24 m + 144}{n ^{4} + 8 n ^{3} + 24 n ^{2} + 32 n + 16}

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What is expand ((m+12)^2)/((n+2)^4) ?
The solution to expand ((m+12)^2)/((n+2)^4) is (m^2+24m+144)/(n^4+8n^3+24n^2+32n+16)