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

The solution to expand (x-a)^2e^{a-3x} is e^{a-3x}x^2-2ae^{a-3x}x+a^2e^{a-3x}

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expand (x-a)^2e^{a-3x}

expand

(x - a)^{2} e^{a - 3 x}

e^{a - 3 x} x^{2} - 2 a e^{a - 3 x} x + a^{2} e^{a - 3 x}

Solution steps

(x - a)^{2} e^{a - 3 x}

(x - a)^{2} = x^{2} - 2 a x + a^{2}

= e^{- 3 x + a} (x^{2} - 2 a x + a^{2})

= e^{a - 3 x} (x^{2} - 2 a x + a^{2})

Distribute parentheses

= e^{a - 3 x} x^{2} + e^{a - 3 x} (- 2 x a) + e^{a - 3 x} a^{2}

Apply minus-plus rules

+ (- a) = - a

= e^{a - 3 x} x^{2} - 2 a e^{a - 3 x} x + a^{2} e^{a - 3 x}

\frac{x ^{4}}{( ( x - 1 ) ( x - 3 ) ^{3} )}

(2.5, 4, - 2) y (3, 8, - 3)

(y^{2} - 2 x y + 6 x) d x + (- x^{2} - 2 x y - 2) d y

\frac{20}{( s ^{2} + 4 s + 13 ) ( s + 1 )}

\frac{( 3 x - 1 ) ^{2}}{( x + 1 ) ^{3}}

What is expand (x-a)^2e^{a-3x} ?
The solution to expand (x-a)^2e^{a-3x} is e^{a-3x}x^2-2ae^{a-3x}x+a^2e^{a-3x}