What is expand (x^2-4x+6)^2 ?

The solution to expand (x^2-4x+6)^2 is x^4-8x^3+28x^2-48x+36

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expand (x^2-4x+6)^2

expand

(x^{2} - 4 x + 6)^{2}

x^{4} - 8 x^{3} + 28 x^{2} - 48 x + 36

Solution steps

(x^{2} - 4 x + 6)^{2}

Apply exponent rule:

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

(x^{2} - 4 x + 6)^{2} = (x^{2} - 4 x + 6) (x^{2} - 4 x + 6)

= (x^{2} - 4 x + 6) (x^{2} - 4 x + 6)

Distribute parentheses

= x^{2} x^{2} + x^{2} (- 4 x) + x^{2} \cdot 6 - 4 x x^{2} - 4 x (- 4 x) - 4 x \cdot 6 + 6 x^{2} + 6 (- 4 x) + 6 \cdot 6

Simplify

x^{2} x^{2} + x^{2} (- 4 x) + x^{2} \cdot 6 - 4 x x^{2} - 4 x (- 4 x) - 4 x \cdot 6 + 6 x^{2} + 6 (- 4 x) + 6 \cdot 6 : x^{4} - 8 x^{3} + 28 x^{2} - 48 x + 36

= x^{4} - 8 x^{3} + 28 x^{2} - 48 x + 36

(x - 2) (x - 1) (x - 1) (3 x - 2)

(4 + 5) (4 - 5)

\frac{7}{3} \cdot 3

sin^{3} (x) + (sin^{2} (x)) (cos (x))

- \frac{5}{2} + 4

What is expand (x^2-4x+6)^2 ?
The solution to expand (x^2-4x+6)^2 is x^4-8x^3+28x^2-48x+36