What is factor x^2-12x+36-49y^2 ?

The solution to factor x^2-12x+36-49y^2 is (x-6+7y)(x-6-7y)

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factor x^2-12x+36-49y^2

factor

x^{2} - 12 x + 36 - 49 y^{2}

(x - 6 + 7 y) (x - 6 - 7 y)

Solution steps

x^{2} - 12 x + 36 - 49 y^{2}

Factor

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

= (x - 6)^{2} - 49 y^{2}

Simplify

49 y^{2} : (7 y)^{2}

= (x - 6)^{2} - (7 y)^{2}

Apply Difference of Two Squares Formula:

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

(x - 6)^{2} - (7 y)^{2} = ((x - 6) + 7 y) ((x - 6) - 7 y)

= ((x - 6) + 7 y) ((x - 6) - 7 y)

Apply rule:

(a) = a

(x - 6) = x - 6

= (x - 6 + 7 y) (x - 6 - 7 y)

(2 + \frac{1}{3} (6 + h))^{2}

(1 - 2 y)^{4}

7 (- 6 f + 1) - 2 (3 f - 8)

(a - b - d) \cdot (a^{2} + ab + b^{2})

What is factor x^2-12x+36-49y^2 ?
The solution to factor x^2-12x+36-49y^2 is (x-6+7y)(x-6-7y)