What is factor 4y^2-x^2-22x-121 ?

The solution to factor 4y^2-x^2-22x-121 is (2y+x+11)(2y-x-11)

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factor 4y^2-x^2-22x-121

factor

4 y^{2} - x^{2} - 22 x - 121

(2 y + x + 11) (2 y - x - 11)

Solution steps

4 y^{2} - x^{2} - 22 x - 121

Factor

- x^{2} - 22 x - 121 : - (x + 11)^{2}

= 4 y^{2} - (x + 11)^{2}

Simplify

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

= (2 y)^{2} - (x + 11)^{2}

Apply Difference of Two Squares Formula:

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

(2 y)^{2} - (x + 11)^{2} = (2 y + (x + 11)) (2 y - (x + 11))

= (2 y + (x + 11)) (2 y - (x + 11))

Simplify

(2 y + (x + 11)) (2 y - (x + 11)) : (2 y + x + 11) (2 y - x - 11)

= (2 y + x + 11) (2 y - x - 11)

∣ 5 x + 2 ∣ > 3

2 a^{2} - 9 a + 9

2 - (- 2)

- 8 = x - 7

7 x + 30 + 9 x + 42 = 104

What is factor 4y^2-x^2-22x-121 ?
The solution to factor 4y^2-x^2-22x-121 is (2y+x+11)(2y-x-11)