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

The solution to expand 3x^2(4x^3-2x^2+7x-4) is 12x^5-6x^4+21x^3-12x^2

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

expand

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

12 x^{5} - 6 x^{4} + 21 x^{3} - 12 x^{2}

Solution steps

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

Distribute parentheses

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

Simplify

3 x^{2} \cdot 4 x^{3} + 3 x^{2} (- 2 x^{2}) + 3 x^{2} \cdot 7 x + 3 x^{2} (- 4) : 12 x^{5} - 6 x^{4} + 21 x^{3} - 12 x^{2}

= 12 x^{5} - 6 x^{4} + 21 x^{3} - 12 x^{2}

\frac{sec ( x ) csc ( x ) - tan ( x )}{sec ( x ) csc ( x )}

s (s + 5) (s + 10)

2 x^{2} \cdot (- 3) x

\frac{12}{121}

\frac{sin ^{4} ( 3 t )}{16 t ^{2}}

What is expand 3x^2(4x^3-2x^2+7x-4) ?
The solution to expand 3x^2(4x^3-2x^2+7x-4) is 12x^5-6x^4+21x^3-12x^2