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

The solution to expand (x-2sqrt(x)+1)^2 is x^2-4xsqrt(x)+6x-4sqrt(x)+1

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expand (x-2sqrt(x)+1)^2

expand

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

x^{2} - 4 x x + 6 x - 4 x + 1

Solution steps

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

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

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

= (x - 2 x + 1) (x - 2 x + 1)

Distribute parentheses

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

Simplify

xx + x (- 2 x) + x \cdot 1 - 2 x x - 2 x (- 2 x) - 2 x \cdot 1 + 1 \cdot x + 1 \cdot (- 2 x) + 1 \cdot 1 : x^{2} - 4 x x + 6 x - 4 x + 1

= x^{2} - 4 x x + 6 x - 4 x + 1

A (- 2, - 3) y B (5, 1)

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

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

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

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

What is expand (x-2sqrt(x)+1)^2 ?
The solution to expand (x-2sqrt(x)+1)^2 is x^2-4xsqrt(x)+6x-4sqrt(x)+1