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Popular >

expand 20(4x^3-3x)^{19}(12x^2-3)

Solution

expand

20 (4 x^{3} - 3 x)^{19} (12 x^{2} - 3)

Solution

20 \cdot 12 x^{2} (4 x^{3} - 3 x)^{19} - 20 \cdot 3 (4 x^{3} - 3 x)^{19}

Solution steps

20 (4 x^{3} - 3 x)^{19} (12 x^{2} - 3)

Apply the distributive law:

a (b - c) = ab - a c

a = 20 (4 x^{3} - 3 x)^{19}, b = 12 x^{2}, c = 3

= 20 (4 x^{3} - 3 x)^{19} \cdot 12 x^{2} - 20 (4 x^{3} - 3 x)^{19} \cdot 3

= 20 \cdot 12 x^{2} (4 x^{3} - 3 x)^{19} - 20 \cdot 3 (4 x^{3} - 3 x)^{19}

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Frequently Asked Questions (FAQ)

What is expand 20(4x^3-3x)^{19}(12x^2-3) ?
The solution to expand 20(4x^3-3x)^{19}(12x^2-3) is 20*12x^2(4x^3-3x)^{19}-20*3(4x^3-3x)^{19}