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

The solution to expand (x^2+2x+1)^2 is x^4+4x^3+6x^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} + 6 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} \cdot 1 + 2 x x^{2} + 2 x \cdot 2 x + 2 x \cdot 1 + 1 \cdot x^{2} + 1 \cdot 2 x + 1 \cdot 1

Simplify

x^{2} x^{2} + x^{2} \cdot 2 x + x^{2} \cdot 1 + 2 x x^{2} + 2 x \cdot 2 x + 2 x \cdot 1 + 1 \cdot x^{2} + 1 \cdot 2 x + 1 \cdot 1 : x^{4} + 4 x^{3} + 6 x^{2} + 4 x + 1

= x^{4} + 4 x^{3} + 6 x^{2} + 4 x + 1

(- 1 + 8 i) (8 + 6 i)

7 - 1

lo g_{6} ((\frac{x}{216})^{4})

(- 6 - 10 i) (2 - 3 i)

\frac{x ^{2} + 2 x}{x}

What is expand (x^2+2x+1)^2 ?
The solution to expand (x^2+2x+1)^2 is x^4+4x^3+6x^2+4x+1