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

The solution to expand (x^2-6x-4)^2 is x^4-12x^3+28x^2+48x+16

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

expand

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

x^{4} - 12 x^{3} + 28 x^{2} + 48 x + 16

Solution steps

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

Apply exponent rule:

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

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

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

Distribute parentheses

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

Simplify

x^{2} x^{2} + x^{2} (- 6 x) + x^{2} (- 4) - 6 x x^{2} - 6 x (- 6 x) - 6 x (- 4) - 4 x^{2} - 4 (- 6 x) - 4 (- 4) : x^{4} - 12 x^{3} + 28 x^{2} + 48 x + 16

= x^{4} - 12 x^{3} + 28 x^{2} + 48 x + 16

(6 - 10 i) + (- 10 - i)

13 x^{2} y^{3} - 26 x^{2} y^{2}

(x + 9) (3 x + 9)

\frac{12 x}{2 + 2 3}

What is expand (x^2-6x-4)^2 ?
The solution to expand (x^2-6x-4)^2 is x^4-12x^3+28x^2+48x+16