What is expand (4m^5+5n^3)^2 ?

The solution to expand (4m^5+5n^3)^2 is 16m^{10}+40m^5n^3+25n^6

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expand (4m^5+5n^3)^2

expand

(4 m^{5} + 5 n^{3})^{2}

16 m^{10} + 40 m^{5} n^{3} + 25 n^{6}

Solution steps

(4 m^{5} + 5 n^{3})^{2}

Apply Perfect Square Formula:

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

(4 m^{5} + 5 n^{3})^{2} = (4 m^{5})^{2} + 2 \cdot 4 m^{5} \cdot 5 n^{3} + (5 n^{3})^{2}

= (4 m^{5})^{2} + 2 \cdot 4 m^{5} \cdot 5 n^{3} + (5 n^{3})^{2}

Simplify

(4 m^{5})^{2} + 2 \cdot 4 m^{5} \cdot 5 n^{3} + (5 n^{3})^{2} : 16 m^{10} + 40 m^{5} n^{3} + 25 n^{6}

= 16 m^{10} + 40 m^{5} n^{3} + 25 n^{6}

25 \times 6

\frac{( 3 x ^{2} + 4 x - x ^{4} - 2 x ^{3} - 4 )}{( x + 2 )}

\frac{( 4 t ) ^{4}}{5 t}

\frac{1}{4} \times 12

\frac{1}{8 x} + \frac{8}{3 x}

What is expand (4m^5+5n^3)^2 ?
The solution to expand (4m^5+5n^3)^2 is 16m^{10}+40m^5n^3+25n^6