What is expand (-7+2a)*e^{2a-4} ?

The solution to expand (-7+2a)*e^{2a-4} is -7e^{2a-4}+2ae^{2a-4}

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expand (-7+2a)*e^{2a-4}

expand

(- 7 + 2 a) \cdot e^{2 a - 4}

- 7 e^{2 a - 4} + 2 a e^{2 a - 4}

Solution steps

(- 7 + 2 a) e^{2 a - 4}

= e^{2 a - 4} (- 7 + 2 a)

Apply the distributive law:

a (b + c) = ab + a c

a = e^{2 a - 4}, b = - 7, c = 2 a

= e^{2 a - 4} (- 7) + e^{2 a - 4} \cdot 2 a

Apply minus-plus rules

+ (- a) = - a

= - 7 e^{2 a - 4} + 2 a e^{2 a - 4}

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\frac{1 + ( x ^{2} + 5 ) 4 x - 3}{x ^{2} + 5}

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\frac{2 x ^{2} + 21}{( x - 3 ) ^{2}}

What is expand (-7+2a)*e^{2a-4} ?
The solution to expand (-7+2a)*e^{2a-4} is -7e^{2a-4}+2ae^{2a-4}