What is expand (2x-1)^2(2)dx ?

The solution to expand (2x-1)^2(2)dx is 8x^2dx-8xdx+2dx

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expand (2x-1)^2(2)dx

expand

(2 x - 1)^{2} (2) d x

8 x^{2} d x - 8 x d x + 2 d x

Solution steps

(2 x - 1)^{2} (2) d x

Remove parentheses:

(a) = a

= (2 x - 1)^{2} \cdot 2 d x

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

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

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

Distribute parentheses

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

Apply minus-plus rules

+ (- a) = - a

= 2 \cdot 4 x^{2} d x - 2 \cdot 4 x d x + 2 \cdot 1 \cdot d x

Simplify

2 \cdot 4 x^{2} d x - 2 \cdot 4 x d x + 2 \cdot 1 \cdot d x : 8 x^{2} d x - 8 x d x + 2 d x

= 8 x^{2} d x - 8 x d x + 2 d x

(3 e^{- 5 t} - 7)^{2}

\frac{u ^{4} ( 7 y ^{5} - 9 )}{3 y ^{4}}

10000 e^{0.25 (t - 1.25)^{2}}

\frac{3 x + 4}{12 c ^{2} m ^{16} ( 4 x + 3 )}

p_{1} (p^{1} = 3.25 + \frac{1}{4} p_{1})

What is expand (2x-1)^2(2)dx ?
The solution to expand (2x-1)^2(2)dx is 8x^2dx-8xdx+2dx