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Popular >

factor (x-2)^2-1

Solution

factor

(x - 2)^{2} - 1

Solution

(x - 1) (x - 3)

Solution steps

(x - 2)^{2} - 1

Rewrite

1

as

1^{2}

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

Apply Difference of Two Squares Formula:

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

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

= ((x - 2) + 1) ((x - 2) - 1)

Simplify

((x - 2) + 1) ((x - 2) - 1) : (x - 1) (x - 3)

= (x - 1) (x - 3)

Popular Examples

\frac{2}{25}

expand (x^2-5x)(2x^2+x-3)expand

(x^{2} - 5 x) (2 x^{2} + x - 3)

simplify x^2+3x-x^3-(-8)x^2+x-9-5x^3-x^2+17 simplify

x^{2} + 3 x - x^{3} - (- 8) x^{2} + x - 9 - 5 x^{3} - x^{2} + 17

simplify 6*27 simplify

6 \cdot 27

simplify ((2x^3-3x^2+1)(x+2))/(x^2-4)simplify

\frac{( 2 x ^{3} - 3 x ^{2} + 1 ) ( x + 2 )}{x ^{2} - 4}

Frequently Asked Questions (FAQ)

What is factor (x-2)^2-1 ?
The solution to factor (x-2)^2-1 is (x-1)(x-3)