What is expand (x^2-2x+5)^2 ?

The solution to expand (x^2-2x+5)^2 is x^4-4x^3+14x^2-20x+25

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expand (x^2-2x+5)^2

expand

(x^{2} - 2 x + 5)^{2}

x^{4} - 4 x^{3} + 14 x^{2} - 20 x + 25

Solution steps

(x^{2} - 2 x + 5)^{2}

Apply exponent rule:

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

(x^{2} - 2 x + 5)^{2} = (x^{2} - 2 x + 5) (x^{2} - 2 x + 5)

= (x^{2} - 2 x + 5) (x^{2} - 2 x + 5)

Distribute parentheses

= x^{2} x^{2} + x^{2} (- 2 x) + x^{2} \cdot 5 - 2 x x^{2} - 2 x (- 2 x) - 2 x \cdot 5 + 5 x^{2} + 5 (- 2 x) + 5 \cdot 5

Simplify

x^{2} x^{2} + x^{2} (- 2 x) + x^{2} \cdot 5 - 2 x x^{2} - 2 x (- 2 x) - 2 x \cdot 5 + 5 x^{2} + 5 (- 2 x) + 5 \cdot 5 : x^{4} - 4 x^{3} + 14 x^{2} - 20 x + 25

= x^{4} - 4 x^{3} + 14 x^{2} - 20 x + 25

- (- 3 t - 4.8 u - 9)

18 - 42

(\frac{2}{3}) (\frac{1}{3})^{2}

\frac{5 + 3}{2}

- 6 + 5 (8 - k) - 8 k

What is expand (x^2-2x+5)^2 ?
The solution to expand (x^2-2x+5)^2 is x^4-4x^3+14x^2-20x+25