What is expand (3X-4X^2)(6X+1)'' ?

The solution to expand (3X-4X^2)(6X+1)'' is 3X(6X+1)''-4X^2(6X+1)''

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expand (3X-4X^2)(6X+1)''

expand

(3 X - 4 X^{2}) (6 X + 1)^{''}

3 X (6 X + 1)'' - 4 X^{2} (6 X + 1)''

Solution steps

(3 X - 4 X^{2}) (6 X + 1)^{''}

Apply the distributive law:

a (b - c) = ab - a c

a = (6 X + 1)^{''}, b = 3 X, c = 4 X^{2}

= (6 X + 1)^{^{''}} 3 X - (6 X + 1)^{^{''}} 4 X^{2}

= 3 X (6 X + 1)^{^{''}} - 4 X^{2} (6 X + 1)^{^{''}}

- \frac{2 x ( x + 1 ) ^{2}}{3}

3 - sin (2 x^{2} - 3 x - 1) (4 x - 3)

(3 x^{2} + 3 y^{2} \frac{d y}{d x}) (x^{2} + y^{2})

\frac{2 ( 2 n + 3 ) \cdot ( 5 n + 3 )}{3 ( 5 n + 8 ) \cdot ( 2 n + 1 )}

What is expand (3X-4X^2)(6X+1)'' ?
The solution to expand (3X-4X^2)(6X+1)'' is 3X(6X+1)''-4X^2(6X+1)''