What is factor 45x^2-8xy-4y^2 ?

The solution to factor 45x^2-8xy-4y^2 is (9x+2y)(5x-2y)

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factor 45x^2-8xy-4y^2

factor

45 x^{2} - 8 x y - 4 y^{2}

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

Solution steps

45 x^{2} - 8 x y - 4 y^{2}

Break the expression into groups

= (45 x^{2} + 10 x y) + (- 18 x y - 4 y^{2})

Factor out

5 x

from

45 x^{2} + 10 x y : 5 x (9 x + 2 y)

Factor out

- 2 y

from

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

= 5 x (9 x + 2 y) - 2 y (9 x + 2 y)

Factor out common term

9 x + 2 y

= (9 x + 2 y) (5 x - 2 y)

2 r^{2} + r - 4 = 0

m^{2} + 5 m - 14 = 0

∣ x - 5 ∣ > 7

2 (2 y + 9) = 50

What is factor 45x^2-8xy-4y^2 ?
The solution to factor 45x^2-8xy-4y^2 is (9x+2y)(5x-2y)