What is factor 9x^2+12x+4-16y^2 ?

The solution to factor 9x^2+12x+4-16y^2 is (3x+2+4y)(3x+2-4y)

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factor 9x^2+12x+4-16y^2

factor

9 x^{2} + 12 x + 4 - 16 y^{2}

(3 x + 2 + 4 y) (3 x + 2 - 4 y)

Solution steps

9 x^{2} + 12 x + 4 - 16 y^{2}

Factor

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

= (3 x + 2)^{2} - 16 y^{2}

Simplify

16 y^{2} : (4 y)^{2}

= (3 x + 2)^{2} - (4 y)^{2}

Apply Difference of Two Squares Formula:

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

(3 x + 2)^{2} - (4 y)^{2} = ((3 x + 2) + 4 y) ((3 x + 2) - 4 y)

= ((3 x + 2) + 4 y) ((3 x + 2) - 4 y)

Apply rule:

(a) = a

(3 x + 2) = 3 x + 2

= (3 x + 2 + 4 y) (3 x + 2 - 4 y)

2 sin^{2} (a) + 2 cos^{2} (a)

3 (4 t^{3}) (t^{3} + 1)^{3} + (t^{4} - 1)^{2} (4 (3 t^{2}))

(\frac{x}{2} - \frac{y}{3})^{2}

(1 - x)^{- n}

216 x^{6} - 27 y^{6}

What is factor 9x^2+12x+4-16y^2 ?
The solution to factor 9x^2+12x+4-16y^2 is (3x+2+4y)(3x+2-4y)