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

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

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

expand

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

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

Solution steps

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

Apply exponent rule:

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

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

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

Distribute parentheses

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

Simplify

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

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

\frac{4 ^{3} e ^{- 4}}{3 !}

1 x - 1

(\frac{4}{3} 1.5)^{3}

(a + b - c)^{3}

5 \frac{5}{8}

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