What is expand e^{x-1}*(x^2+8(x)-12) ?

The solution to expand e^{x-1}*(x^2+8(x)-12) is e^{x-1}x^2+8e^{x-1}x-12e^{x-1}

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expand e^{x-1}*(x^2+8(x)-12)

expand

e^{x - 1} \cdot (x^{2} + 8 (x) - 12)

e^{x - 1} x^{2} + 8 e^{x - 1} x - 12 e^{x - 1}

Solution steps

e^{x - 1} (x^{2} + 8 (x) - 12)

Distribute parentheses

= e^{x - 1} x^{2} + e^{x - 1} \cdot 8 (x) + e^{x - 1} (- 12)

Apply minus-plus rules

+ (- a) = - a

= e^{x - 1} x^{2} + 8 e^{x - 1} (x) - 12 e^{x - 1}

Remove parentheses:

(a) = a

= e^{x - 1} x^{2} + 8 e^{x - 1} x - 12 e^{x - 1}

\frac{k ^{2} + 7 k - 8}{( k + 6 ) ( k - 8 )}

d (3 sec (x) - ln (x))

\frac{d}{d t} ((x) (2 x^{2} + 2))

- \frac{6}{( 2 + x ) ^{4}}

[e^{x + c} \cdot (x + 1)] y

What is expand e^{x-1}*(x^2+8(x)-12) ?
The solution to expand e^{x-1}*(x^2+8(x)-12) is e^{x-1}x^2+8e^{x-1}x-12e^{x-1}