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

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

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

factor

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

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

Solution steps

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

Factor

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

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

Apply Difference of Two Squares Formula:

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

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

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

Simplify

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

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

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

\frac{( y ^{2} + 7 y + 10 )}{( y + 5 )}

\frac{81}{49 \cdot x ^{4} \cdot y ^{10}}

\frac{( 12 x ^{8} \cdot y ^{3} )}{( - 3 x ^{2} \cdot y )}

(b cos (a))^{2} + (b sin (a))^{2}

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