What is factor 9y^2-x^2-8x-16 ?

The solution to factor 9y^2-x^2-8x-16 is (3y+x+4)(3y-x-4)

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factor 9y^2-x^2-8x-16

factor

9 y^{2} - x^{2} - 8 x - 16

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

Solution steps

9 y^{2} - x^{2} - 8 x - 16

Factor

- x^{2} - 8 x - 16 : - (x + 4)^{2}

= 9 y^{2} - (x + 4)^{2}

Simplify

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

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

Apply Difference of Two Squares Formula:

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

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

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

Simplify

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

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

6 x^{2} + 3 x - 63

\frac{2 x - 3}{4} > 5

9.3 \cdot 1 0^{7} - 3.4 \cdot 1 0^{6}

4 x^{2} + 24 = 0

200 a^{6} b^{7}

What is factor 9y^2-x^2-8x-16 ?
The solution to factor 9y^2-x^2-8x-16 is (3y+x+4)(3y-x-4)