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

The solution to expand (x^2-2x-3)^2 is x^4-4x^3-2x^2+12x+9

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

expand

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

x^{4} - 4 x^{3} - 2 x^{2} + 12 x + 9

Solution steps

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

Apply exponent rule:

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

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

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

Distribute parentheses

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

Simplify

x^{2} x^{2} + x^{2} (- 2 x) + x^{2} (- 3) - 2 x x^{2} - 2 x (- 2 x) - 2 x (- 3) - 3 x^{2} - 3 (- 2 x) - 3 (- 3) : x^{4} - 4 x^{3} - 2 x^{2} + 12 x + 9

= x^{4} - 4 x^{3} - 2 x^{2} + 12 x + 9

lo g_{2} (48)

\frac{100}{36}

- 16 x^{3} y^{2} (- 4 x^{2} y^{4})

3 x^{2} - 13 x + 10

5 x y (2 x - y) + 6 y^{2} (x^{2} + 6)

What is expand (x^2-2x-3)^2 ?
The solution to expand (x^2-2x-3)^2 is x^4-4x^3-2x^2+12x+9