What is factor a^2-1-2x-x^2 ?

The solution to factor a^2-1-2x-x^2 is (x+a+1)(-x+a-1)

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factor a^2-1-2x-x^2

factor

a^{2} - 1 - 2 x - x^{2}

(x + a + 1) (- x + a - 1)

Solution steps

a^{2} - 1 - 2 x - x^{2}

Factor

- 1 - 2 x - x^{2} : - (x + 1)^{2}

= a^{2} - (x + 1)^{2}

Apply Difference of Two Squares Formula:

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

a^{2} - (x + 1)^{2} = (a + (x + 1)) (a - (x + 1))

= (a + (x + 1)) (a - (x + 1))

Simplify

(a + (x + 1)) (a - (x + 1)) : (a + x + 1) (a - x - 1)

= (a + x + 1) (a - x - 1)

= (x + a + 1) (- x + a - 1)

3 x - 2 x^{4} y

x^{4} - 125 x y^{3}

\frac{2 n ! x ^{n}}{n !}

\frac{\frac{s i n ( a )}{s i n ( a )}}{2}

x^{3} - 2 x^{2} \cdot y + x \cdot y^{2}

What is factor a^2-1-2x-x^2 ?
The solution to factor a^2-1-2x-x^2 is (x+a+1)(-x+a-1)