What is expand (4m^5+5n^6)^2 ?

The solution to expand (4m^5+5n^6)^2 is 16m^{10}+40m^5n^6+25n^{12}

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expand (4m^5+5n^6)^2

expand

(4 m^{5} + 5 n^{6})^{2}

16 m^{10} + 40 m^{5} n^{6} + 25 n^{12}

Solution steps

(4 m^{5} + 5 n^{6})^{2}

Apply Perfect Square Formula:

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

(4 m^{5} + 5 n^{6})^{2} = (4 m^{5})^{2} + 2 \cdot 4 m^{5} \cdot 5 n^{6} + (5 n^{6})^{2}

= (4 m^{5})^{2} + 2 \cdot 4 m^{5} \cdot 5 n^{6} + (5 n^{6})^{2}

Simplify

(4 m^{5})^{2} + 2 \cdot 4 m^{5} \cdot 5 n^{6} + (5 n^{6})^{2} : 16 m^{10} + 40 m^{5} n^{6} + 25 n^{12}

= 16 m^{10} + 40 m^{5} n^{6} + 25 n^{12}

2 \frac{2}{5}

ln (e^{3 x})

(2 x - 1)^{4}

(x) (x)

\frac{( x ^{2} - 16 )}{( x ^{2} + 9 x + 20 )} \cdot \frac{( x + 5 )}{( x ^{2} - 7 x + 12 )}

What is expand (4m^5+5n^6)^2 ?
The solution to expand (4m^5+5n^6)^2 is 16m^{10}+40m^5n^6+25n^{12}