What is expand e^{t^2}(4t^3-7t^2+9t) ?

The solution to expand e^{t^2}(4t^3-7t^2+9t) is 4e^{t^2}t^3-7e^{t^2}t^2+9e^{t^2}t

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expand e^{t^2}(4t^3-7t^2+9t)

expand

e^{t^{2}} (4 t^{3} - 7 t^{2} + 9 t)

4 e^{t^{2}} t^{3} - 7 e^{t^{2}} t^{2} + 9 e^{t^{2}} t

Solution steps

e^{t^{2}} (4 t^{3} - 7 t^{2} + 9 t)

Distribute parentheses

= e^{t^{2}} \cdot 4 t^{3} + e^{t^{2}} (- 7 t^{2}) + e^{t^{2}} \cdot 9 t

Apply minus-plus rules

+ (- a) = - a

= 4 e^{t^{2}} t^{3} - 7 e^{t^{2}} t^{2} + 9 e^{t^{2}} t

\frac{( y + 1 ) ( y + 8 )}{( y + 2 ) ( y - 6 )}

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

a (4 x - 6 y = - 3)

\frac{x}{( 0.08 - x ) ( 0.06 - x )}

\frac{x}{( a - x ) ^{2}}

What is expand e^{t^2}(4t^3-7t^2+9t) ?
The solution to expand e^{t^2}(4t^3-7t^2+9t) is 4e^{t^2}t^3-7e^{t^2}t^2+9e^{t^2}t