What is factor 36a^2-12a+1-25b^2 ?

The solution to factor 36a^2-12a+1-25b^2 is (6a-1+5b)(6a-1-5b)

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factor 36a^2-12a+1-25b^2

factor

36 a^{2} - 12 a + 1 - 25 b^{2}

(6 a - 1 + 5 b) (6 a - 1 - 5 b)

Solution steps

36 a^{2} - 12 a + 1 - 25 b^{2}

Factor

36 a^{2} - 12 a + 1 : (6 a - 1)^{2}

= (6 a - 1)^{2} - 25 b^{2}

Simplify

25 b^{2} : (5 b)^{2}

= (6 a - 1)^{2} - (5 b)^{2}

Apply Difference of Two Squares Formula:

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

(6 a - 1)^{2} - (5 b)^{2} = ((6 a - 1) + 5 b) ((6 a - 1) - 5 b)

= ((6 a - 1) + 5 b) ((6 a - 1) - 5 b)

Apply rule:

(a) = a

(6 a - 1) = 6 a - 1

= (6 a - 1 + 5 b) (6 a - 1 - 5 b)

\frac{( ( 6 y ^{3} ) ^{4} )}{( 2 y ^{5} )}

\frac{( 1 + sin ( x ) )}{n}

4 x^{2} - 9 y^{2} - 2 x - 3 y

\frac{( 4 x ^{5} \cdot 3 x )}{( 6 x ^{2} )}

(- \frac{7}{3} x + \frac{8}{5} y)^{3}

What is factor 36a^2-12a+1-25b^2 ?
The solution to factor 36a^2-12a+1-25b^2 is (6a-1+5b)(6a-1-5b)