What is expand (sqrt(2x+1))(2x+2Δx-1) ?

The solution to expand (sqrt(2x+1))(2x+2Δx-1) is 2xsqrt(2x+1)+2Δxsqrt(2x+1)-sqrt(2x+1)

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expand (sqrt(2x+1))(2x+2Δx-1)

expand

(2 x + 1) (2 x + 2Δ x - 1)

2 x 2 x + 1 + 2Δ x 2 x + 1 - 2 x + 1

Solution steps

(2 x + 1) (2 x + 2Δ x - 1)

Distribute parentheses

= (2 x + 1) \cdot 2 x + (2 x + 1) \cdot 2Δ x + (2 x + 1) (- 1)

Apply minus-plus rules

+ (- a) = - a

= 2 x (2 x + 1) + 2Δ x (2 x + 1) - 1 \cdot (2 x + 1)

Simplify

2 x (2 x + 1) + 2Δ x (2 x + 1) - 1 \cdot (2 x + 1) : 2 x 2 x + 1 + 2Δ x 2 x + 1 - 2 x + 1

= 2 x 2 x + 1 + 2Δ x 2 x + 1 - 2 x + 1

\frac{3 ( - 3 - x )}{4}

(- 1 - i)^{15}

2 (16 x^{4} - 7 2^{2} = 81)

\frac{z + 1}{z ( z - 1 )}

f (10 x^{4} - 18 x^{2} + 2 x + 3) d x

What is expand (sqrt(2x+1))(2x+2Δx-1) ?
The solution to expand (sqrt(2x+1))(2x+2Δx-1) is 2xsqrt(2x+1)+2Δxsqrt(2x+1)-sqrt(2x+1)