What is factor x^2+12x+36-9y^2 ?

The solution to factor x^2+12x+36-9y^2 is (x+6+3y)(x+6-3y)

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factor x^2+12x+36-9y^2

factor

x^{2} + 12 x + 36 - 9 y^{2}

(x + 6 + 3 y) (x + 6 - 3 y)

Solution steps

x^{2} + 12 x + 36 - 9 y^{2}

Factor

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

= (x + 6)^{2} - 9 y^{2}

Simplify

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

= (x + 6)^{2} - (3 y)^{2}

Apply Difference of Two Squares Formula:

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

(x + 6)^{2} - (3 y)^{2} = ((x + 6) + 3 y) ((x + 6) - 3 y)

= ((x + 6) + 3 y) ((x + 6) - 3 y)

Apply rule:

(a) = a

(x + 6) = x + 6

= (x + 6 + 3 y) (x + 6 - 3 y)

(- \frac{4}{5}) - \frac{7}{8}

3 x^{3} - 12 x^{2} - 9 x

16 + 2 \cdot 0.1

(x^{- 5})^{3}

5 \frac{3}{8} - 3 \frac{3}{4}

What is factor x^2+12x+36-9y^2 ?
The solution to factor x^2+12x+36-9y^2 is (x+6+3y)(x+6-3y)