What is expand (x^2-2x+4)^2 ?

The solution to expand (x^2-2x+4)^2 is x^4-4x^3+12x^2-16x+16

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expand (x^2-2x+4)^2

expand

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

x^{4} - 4 x^{3} + 12 x^{2} - 16 x + 16

Solution steps

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

Apply exponent rule:

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

(x^{2} - 2 x + 4)^{2} = (x^{2} - 2 x + 4) (x^{2} - 2 x + 4)

= (x^{2} - 2 x + 4) (x^{2} - 2 x + 4)

Distribute parentheses

= x^{2} x^{2} + x^{2} (- 2 x) + x^{2} \cdot 4 - 2 x x^{2} - 2 x (- 2 x) - 2 x \cdot 4 + 4 x^{2} + 4 (- 2 x) + 4 \cdot 4

Simplify

x^{2} x^{2} + x^{2} (- 2 x) + x^{2} \cdot 4 - 2 x x^{2} - 2 x (- 2 x) - 2 x \cdot 4 + 4 x^{2} + 4 (- 2 x) + 4 \cdot 4 : x^{4} - 4 x^{3} + 12 x^{2} - 16 x + 16

= x^{4} - 4 x^{3} + 12 x^{2} - 16 x + 16

\frac{3}{8} \div 24

- 11 + 6

f (4 x - 6)

- 18 + 8

\frac{1}{5} + \frac{2}{4}

What is expand (x^2-2x+4)^2 ?
The solution to expand (x^2-2x+4)^2 is x^4-4x^3+12x^2-16x+16