What is factor 9a^2-x^2+2x-1 ?

The solution to factor 9a^2-x^2+2x-1 is (x+3a-1)(-x+3a+1)

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factor 9a^2-x^2+2x-1

factor

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

(x + 3 a - 1) (- x + 3 a + 1)

Solution steps

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

Factor

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

= 9 a^{2} - (x - 1)^{2}

Simplify

9 a^{2} : (3 a)^{2}

= (3 a)^{2} - (x - 1)^{2}

Apply Difference of Two Squares Formula:

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

(3 a)^{2} - (x - 1)^{2} = (3 a + (x - 1)) (3 a - (x - 1))

= (3 a + (x - 1)) (3 a - (x - 1))

Simplify

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

= (3 a + x - 1) (3 a - x + 1)

= (x + 3 a - 1) (- x + 3 a + 1)

\frac{1}{3} \cdot (- \frac{2}{3})

\frac{100}{14}

\frac{2}{5} + \frac{2}{4}

lo g_{5} (5 \times 5)

- 12 \times (- 3)

What is factor 9a^2-x^2+2x-1 ?
The solution to factor 9a^2-x^2+2x-1 is (x+3a-1)(-x+3a+1)