What is (x+1)(x-1)+(sqrt(x)+1)(1-sqrt(x))(x+1) ?

The solution to (x+1)(x-1)+(sqrt(x)+1)(1-sqrt(x))(x+1) is 0

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simplify (x+1)(x-1)+(sqrt(x)+1)(1-sqrt(x))(x+1)

simplify

(x + 1) (x - 1) + (x + 1) (1 - x) (x + 1)

0

Solution steps

(x + 1) (x - 1) + (x + 1) (1 - x) (x + 1)

Apply Difference of Two Squares

(x + 1) (1 - x) : 1 - x

= (x + 1) (x - 1) + (1 - x) (x + 1)

Expand

(x + 1) (x - 1) : x^{2} - 1

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

Expand

(1 - x) (x + 1) : 1 - x^{2}

= x^{2} - 1 + 1 - x^{2}

Group like terms

= x^{2} - x^{2} - 1 + 1

Add similar elements:

x^{2} - x^{2} = 0

= - 1 + 1

Add the numbers:

- 1 + 1 = 0

= 0

4 (x + 7) - 7 x + 2

3 (3 x + 2) - 5 (x + 3)

312 - 25 - 73 + 125

12 + 4 x - x^{2}

\frac{1}{2} 0.2

What is (x+1)(x-1)+(sqrt(x)+1)(1-sqrt(x))(x+1) ?
The solution to (x+1)(x-1)+(sqrt(x)+1)(1-sqrt(x))(x+1) is 0