What is expand 4x^2(3x^3-2x^2+5x) ?

The solution to expand 4x^2(3x^3-2x^2+5x) is 12x^5-8x^4+20x^3

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expand 4x^2(3x^3-2x^2+5x)

expand

4 x^{2} (3 x^{3} - 2 x^{2} + 5 x)

12 x^{5} - 8 x^{4} + 20 x^{3}

Solution steps

4 x^{2} (3 x^{3} - 2 x^{2} + 5 x)

Apply the distributive law:

m (a + b + c) = ma + mb + m c

4 x^{2} (3 x^{3} - 2 x^{2} + 5 x) = 4 x^{2} \cdot 3 x^{3} + 4 x^{2} (- 2 x^{2}) + 4 x^{2} \cdot 5 x

= 4 x^{2} \cdot 3 x^{3} + 4 x^{2} (- 2 x^{2}) + 4 x^{2} \cdot 5 x

Simplify

4 x^{2} \cdot 3 x^{3} + 4 x^{2} (- 2 x^{2}) + 4 x^{2} \cdot 5 x : 12 x^{5} - 8 x^{4} + 20 x^{3}

= 12 x^{5} - 8 x^{4} + 20 x^{3}

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What is expand 4x^2(3x^3-2x^2+5x) ?
The solution to expand 4x^2(3x^3-2x^2+5x) is 12x^5-8x^4+20x^3