What is expand (xe^x+cx)^2 ?

The solution to expand (xe^x+cx)^2 is e^{2x}x^2+2ce^xx^2+c^2x^2

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expand (xe^x+cx)^2

expand

(x e^{x} + c x)^{2}

e^{2 x} x^{2} + 2 c e^{x} x^{2} + c^{2} x^{2}

Solution steps

(x e^{x} + c x)^{2}

= (e^{x} x + c x)^{2}

Apply Perfect Square Formula:

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

a = x e^{x}, b = c x

= (x e^{x})^{2} + 2 x e^{x} c x + (c x)^{2}

Simplify

(x e^{x})^{2} + 2 x e^{x} c x + (c x)^{2} : e^{2 x} x^{2} + 2 c e^{x} x^{2} + c^{2} x^{2}

= e^{2 x} x^{2} + 2 c e^{x} x^{2} + c^{2} x^{2}

(x + 2) (x - 2) (x + δ x + 2) (x + δ x - 2)

(1 - x^{3} + x^{6})^{6}

\frac{7.5754}{s ( s + 3.8 ) + 7.5754}

\frac{8 x + 55}{( x + 9 ) ( x - 8 )}

x (3 + Δ y, 4) - x (3, 4)

What is expand (xe^x+cx)^2 ?
The solution to expand (xe^x+cx)^2 is e^{2x}x^2+2ce^xx^2+c^2x^2