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

The solution to expand (x^2+2x-1)^2 is x^4+4x^3+2x^2-4x+1

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

expand

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

x^{4} + 4 x^{3} + 2 x^{2} - 4 x + 1

Solution steps

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

Apply exponent rule:

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

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

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

Distribute parentheses

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

Simplify

x^{2} x^{2} + x^{2} \cdot 2 x + x^{2} (- 1) + 2 x x^{2} + 2 x \cdot 2 x + 2 x (- 1) - 1 \cdot x^{2} - 1 \cdot 2 x - 1 \cdot (- 1) : x^{4} + 4 x^{3} + 2 x^{2} - 4 x + 1

= x^{4} + 4 x^{3} + 2 x^{2} - 4 x + 1

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

2 \cdot π \cdot 10

tan (θ) cot (θ)

(x sin (x))^{2}

∣ 2 - 1 ∣

What is expand (x^2+2x-1)^2 ?
The solution to expand (x^2+2x-1)^2 is x^4+4x^3+2x^2-4x+1