What is expand (ae^2)(a^2+3a-4) ?

The solution to expand (ae^2)(a^2+3a-4) is e^2a^3+3e^2a^2-4e^2a

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expand (ae^2)(a^2+3a-4)

expand

(a e^{2}) (a^{2} + 3 a - 4)

e^{2} a^{3} + 3 e^{2} a^{2} - 4 e^{2} a

Solution steps

(a e^{2}) (a^{2} + 3 a - 4)

= (e^{2} a) (a^{2} + 3 a - 4)

Distribute parentheses

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

Apply minus-plus rules

+ (- a) = - a

= a^{2} (e^{2} a) + 3 a (e^{2} a) - 4 (e^{2} a)

Simplify

a^{2} (e^{2} a) + 3 a (e^{2} a) - 4 (e^{2} a) : e^{2} a^{3} + 3 e^{2} a^{2} - 4 e^{2} a

= e^{2} a^{3} + 3 e^{2} a^{2} - 4 e^{2} a

\frac{ln ( x )}{( x + 2 ) ^{2}}

3 sin (1) (x - \frac{π}{4})

12 (\frac{a}{3} - \frac{b}{6})

(3 x + 8) (7 x - 1)

(c, d) - (c + a, d + b)

What is expand (ae^2)(a^2+3a-4) ?
The solution to expand (ae^2)(a^2+3a-4) is e^2a^3+3e^2a^2-4e^2a