What is expand (x^2-4x+3)^2 ?

The solution to expand (x^2-4x+3)^2 is x^4-8x^3+22x^2-24x+9

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expand (x^2-4x+3)^2

expand

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

x^{4} - 8 x^{3} + 22 x^{2} - 24 x + 9

Solution steps

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

Apply exponent rule:

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

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

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

Distribute parentheses

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

Simplify

x^{2} x^{2} + x^{2} (- 4 x) + x^{2} \cdot 3 - 4 x x^{2} - 4 x (- 4 x) - 4 x \cdot 3 + 3 x^{2} + 3 (- 4 x) + 3 \cdot 3 : x^{4} - 8 x^{3} + 22 x^{2} - 24 x + 9

= x^{4} - 8 x^{3} + 22 x^{2} - 24 x + 9

\frac{14}{1 4 ^{\frac{1}{8}}}

(3 x - 6) (2 x^{2} - 7 x + 1)

lo g_{2} (7) + lo g_{2} (4)

sin (θ) csc (θ)

2 5^{0.5}

What is expand (x^2-4x+3)^2 ?
The solution to expand (x^2-4x+3)^2 is x^4-8x^3+22x^2-24x+9