What is expand (x^2-8x+17)^2 ?

The solution to expand (x^2-8x+17)^2 is x^4-16x^3+98x^2-272x+289

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expand (x^2-8x+17)^2

expand

(x^{2} - 8 x + 17)^{2}

x^{4} - 16 x^{3} + 98 x^{2} - 272 x + 289

Solution steps

(x^{2} - 8 x + 17)^{2}

Apply exponent rule:

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

(x^{2} - 8 x + 17)^{2} = (x^{2} - 8 x + 17) (x^{2} - 8 x + 17)

= (x^{2} - 8 x + 17) (x^{2} - 8 x + 17)

Distribute parentheses

= x^{2} x^{2} + x^{2} (- 8 x) + x^{2} \cdot 17 - 8 x x^{2} - 8 x (- 8 x) - 8 x \cdot 17 + 17 x^{2} + 17 (- 8 x) + 17 \cdot 17

Simplify

x^{2} x^{2} + x^{2} (- 8 x) + x^{2} \cdot 17 - 8 x x^{2} - 8 x (- 8 x) - 8 x \cdot 17 + 17 x^{2} + 17 (- 8 x) + 17 \cdot 17 : x^{4} - 16 x^{3} + 98 x^{2} - 272 x + 289

= x^{4} - 16 x^{3} + 98 x^{2} - 272 x + 289

\frac{1}{8} \times 3

(t^{2} + 3) (t - 2)

10 x - 80

29 + 216

(x - 4) (2 x^{2} + 5 x - 3)

What is expand (x^2-8x+17)^2 ?
The solution to expand (x^2-8x+17)^2 is x^4-16x^3+98x^2-272x+289