What is expand-sin(x)*(6(2x+1)^2) ?

The solution to expand-sin(x)*(6(2x+1)^2) is -24x^2sin(x)-24xsin(x)-6sin(x)

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expand-sin(x)*(6(2x+1)^2)

expand

- sin (x) \cdot (6 (2 x + 1)^{2})

- 24 x^{2} sin (x) - 24 x sin (x) - 6 sin (x)

Solution steps

- sin (x) (6 (2 x + 1)^{2})

Remove parentheses:

(a) = a

= - sin (x) \cdot 6 (2 x + 1)^{2}

(2 x + 1)^{2} = 4 x^{2} + 4 x + 1

= - 6 sin (x) (4 x^{2} + 4 x + 1)

= - 6 sin (x) (4 x^{2} + 4 x + 1)

Distribute parentheses

= (- sin (x) \cdot 6) \cdot 4 x^{2} + (- sin (x) \cdot 6) \cdot 4 x + (- sin (x) \cdot 6) \cdot 1

Apply minus-plus rules

+ (- a) = - a

= - 6 \cdot 4 x^{2} sin (x) - 6 \cdot 4 x sin (x) - 6 \cdot 1 \cdot sin (x)

Simplify

- 6 \cdot 4 x^{2} sin (x) - 6 \cdot 4 x sin (x) - 6 \cdot 1 \cdot sin (x) : - 24 x^{2} sin (x) - 24 x sin (x) - 6 sin (x)

= - 24 x^{2} sin (x) - 24 x sin (x) - 6 sin (x)

(4 x^{2} - 5 y^{2} + x) d x + x y d y

2 (x + Δ x)^{2} - 3

x (3 x - 2)

(5 + x) x^{4} e^{11 x} + 3

\frac{10 + 2 x + 4 x ^{2} + s ^{3}}{s ^{3} ( s + 3 )}

What is expand-sin(x)*(6(2x+1)^2) ?
The solution to expand-sin(x)*(6(2x+1)^2) is -24x^2sin(x)-24xsin(x)-6sin(x)