What is expand (5x^3-2x^2)(6x^3)' ?

The solution to expand (5x^3-2x^2)(6x^3)' is 5x^3(6x^3)'-2x^2(6x^3)'

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expand (5x^3-2x^2)(6x^3)'

expand

(5 x^{3} - 2 x^{2}) (6 x^{3})^{'}

5 x^{3} (6 x^{3})' - 2 x^{2} (6 x^{3})'

Solution steps

(5 x^{3} - 2 x^{2}) (6 x^{3})^{'}

Apply the distributive law:

a (b - c) = ab - a c

a = (6 x^{3})^{'}, b = 5 x^{3}, c = 2 x^{2}

= (6 x^{3})^{^{'}} 5 x^{3} - (6 x^{3})^{^{'}} 2 x^{2}

= 5 x^{3} (6 x^{3})^{^{'}} - 2 x^{2} (6 x^{3})^{^{'}}

(\frac{0.3 + x}{2} + 0.8) (90 + 300 x)

(2 x - 2) (2 x + 2)

((2)^{2})^{3}

\frac{11 x ^{2} - 26 x - 61}{( x ^{2} - 8 x + 15 ) ^{2}}

(x - 3) (\times + 3)

What is expand (5x^3-2x^2)(6x^3)' ?
The solution to expand (5x^3-2x^2)(6x^3)' is 5x^3(6x^3)'-2x^2(6x^3)'