What is expand 3x^2(4xe^3-2x^2+7x-4) ?

The solution to expand 3x^2(4xe^3-2x^2+7x-4) is 12e^3x^3-6x^4+21x^3-12x^2

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expand 3x^2(4xe^3-2x^2+7x-4)

expand

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

12 e^{3} x^{3} - 6 x^{4} + 21 x^{3} - 12 x^{2}

Solution steps

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

= 3 x^{2} (4 e^{3} x - 2 x^{2} + 7 x - 4)

Distribute parentheses

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

Apply minus-plus rules

+ (- a) = - a

= 3 \cdot 4 e^{3} x^{2} x - 3 \cdot 2 x^{2} x^{2} + 3 \cdot 7 x^{2} x - 3 \cdot 4 x^{2}

Simplify

3 \cdot 4 e^{3} x^{2} x - 3 \cdot 2 x^{2} x^{2} + 3 \cdot 7 x^{2} x - 3 \cdot 4 x^{2} : 12 e^{3} x^{3} - 6 x^{4} + 21 x^{3} - 12 x^{2}

= 12 e^{3} x^{3} - 6 x^{4} + 21 x^{3} - 12 x^{2}

\frac{sin ( x )}{x ( 2 x - 1 )}

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

\frac{( 3 i + 1.74 j ) m}{s ^{2}}

\frac{( 5 x + 4 ) ( 5 x - 4 )}{25}

(x cos (y) - 2 y) d y

What is expand 3x^2(4xe^3-2x^2+7x-4) ?
The solution to expand 3x^2(4xe^3-2x^2+7x-4) is 12e^3x^3-6x^4+21x^3-12x^2