What is expand (5x^3-e^{4x})^2 ?

The solution to expand (5x^3-e^{4x})^2 is 25x^6-10e^{4x}x^3+e^{8x}

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expand (5x^3-e^{4x})^2

expand

(5 x^{3} - e^{4 x})^{2}

25 x^{6} - 10 e^{4 x} x^{3} + e^{8 x}

Solution steps

(5 x^{3} - e^{4 x})^{2}

Apply Perfect Square Formula:

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

a = 5 x^{3}, b = e^{4 x}

= (5 x^{3})^{2} - 2 \cdot 5 x^{3} e^{4 x} + (e^{4 x})^{2}

Simplify

(5 x^{3})^{2} - 2 \cdot 5 x^{3} e^{4 x} + (e^{4 x})^{2} : 25 x^{6} - 10 e^{4 x} x^{3} + e^{8 x}

= 25 x^{6} - 10 e^{4 x} x^{3} + e^{8 x}

2 \cdot 1.97 \cdot (1, 7 - 0)

\frac{( x - 2 y ) ( x - y - 2 )}{( 1 - x ) ( x - y - 1 )}

\frac{4 ( x + 2 ) ( x - 1 )}{( x ^{2} + 2 x + 2 ) ^{2}}

\frac{8}{s ^{3} ( s ^{2} - s - 2 )}

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

What is expand (5x^3-e^{4x})^2 ?
The solution to expand (5x^3-e^{4x})^2 is 25x^6-10e^{4x}x^3+e^{8x}