What is factor (x-1)^2-7 ?

The solution to factor (x-1)^2-7 is (x-1+sqrt(7))(x-1-sqrt(7))

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factor (x-1)^2-7

factor

(x - 1)^{2} - 7

(x - 1 + 7) (x - 1 - 7)

Solution steps

(x - 1)^{2} - 7

Apply radical rule:

a = (a)^{2}

7 = (7)^{2}

= (x - 1)^{2} - (7)^{2}

Apply Difference of Two Squares Formula:

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

(x - 1)^{2} - (7)^{2} = ((x - 1) + 7) ((x - 1) - 7)

= ((x - 1) + 7) ((x - 1) - 7)

Refine

= (x + 7 - 1) (x - 1 - 7)

4^{2} + 8 x + 2

n^{(l o g_{4} (3))}

- z^{(2)} + 4 z + 4

2 c (\frac{d ^{2} x}{d x ^{2}})

8 x^{3} + (- 65)

What is factor (x-1)^2-7 ?
The solution to factor (x-1)^2-7 is (x-1+sqrt(7))(x-1-sqrt(7))