What is factor 9x^2+12x+4-25y^2 ?

The solution to factor 9x^2+12x+4-25y^2 is (3x+2+5y)(3x+2-5y)

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factor 9x^2+12x+4-25y^2

factor

9 x^{2} + 12 x + 4 - 25 y^{2}

(3 x + 2 + 5 y) (3 x + 2 - 5 y)

Solution steps

9 x^{2} + 12 x + 4 - 25 y^{2}

Factor

9 x^{2} + 12 x + 4 : (3 x + 2)^{2}

= (3 x + 2)^{2} - 25 y^{2}

Simplify

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

= (3 x + 2)^{2} - (5 y)^{2}

Apply Difference of Two Squares Formula:

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

(3 x + 2)^{2} - (5 y)^{2} = ((3 x + 2) + 5 y) ((3 x + 2) - 5 y)

= ((3 x + 2) + 5 y) ((3 x + 2) - 5 y)

Apply rule:

(a) = a

(3 x + 2) = 3 x + 2

= (3 x + 2 + 5 y) (3 x + 2 - 5 y)

0 = 12 x^{2} + x - 1

- 2 x - 6 = 18

(- 27) \frac{4}{3}

x^{2} + 14 x - 24 = 0

j + 17 = 20

What is factor 9x^2+12x+4-25y^2 ?
The solution to factor 9x^2+12x+4-25y^2 is (3x+2+5y)(3x+2-5y)