What is factor 28x^2-11xy-30y^2 ?

The solution to factor 28x^2-11xy-30y^2 is (7x+6y)(4x-5y)

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factor 28x^2-11xy-30y^2

factor

28 x^{2} - 11 x y - 30 y^{2}

(7 x + 6 y) (4 x - 5 y)

Solution steps

28 x^{2} - 11 x y - 30 y^{2}

Break the expression into groups

= (28 x^{2} + 24 x y) + (- 35 x y - 30 y^{2})

Factor out

4 x

from

28 x^{2} + 24 x y : 4 x (7 x + 6 y)

Factor out

- 5 y

from

- 35 x y - 30 y^{2} : - 5 y (7 x + 6 y)

= 4 x (7 x + 6 y) - 5 y (7 x + 6 y)

Factor out common term

7 x + 6 y

= (7 x + 6 y) (4 x - 5 y)

x^{2} + x - 12 = 0

∣ 2 x - 4 ∣ + 8 = 5

5 - 2 (4 x - 1) = 3 - (4 x + 2) - 5 (4 - 3 x)

\frac{1}{2} x + 3 = 2 (x - \frac{5}{2})

27 x^{6} - 8 y^{3}

What is factor 28x^2-11xy-30y^2 ?
The solution to factor 28x^2-11xy-30y^2 is (7x+6y)(4x-5y)