What is factor 9a^2-4b^2-6a+1 ?

The solution to factor 9a^2-4b^2-6a+1 is (3a-1+2b)(3a-1-2b)

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factor 9a^2-4b^2-6a+1

factor

9 a^{2} - 4 b^{2} - 6 a + 1

(3 a - 1 + 2 b) (3 a - 1 - 2 b)

Solution steps

9 a^{2} - 4 b^{2} - 6 a + 1

Factor

9 a^{2} - 6 a + 1 : (3 a - 1)^{2}

= (3 a - 1)^{2} - 4 b^{2}

Simplify

4 b^{2} : (2 b)^{2}

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

Apply Difference of Two Squares Formula:

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

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

= ((3 a - 1) + 2 b) ((3 a - 1) - 2 b)

Apply rule:

(a) = a

(3 a - 1) = 3 a - 1

= (3 a - 1 + 2 b) (3 a - 1 - 2 b)

sin^{4} (x) + sin (x)

4 w - 2 a

\frac{( - 17 f ^{5} + 6 f ^{4} - 15 f ^{2} )}{f}

\frac{- 5}{( x ^{2} + 6 )}

(- \frac{2}{3} \cdot x + \frac{4}{5} \cdot y + 7)^{2}

What is factor 9a^2-4b^2-6a+1 ?
The solution to factor 9a^2-4b^2-6a+1 is (3a-1+2b)(3a-1-2b)