What is factor 21y^2-2y-3 ?

The solution to factor 21y^2-2y-3 is (3y+1)(7y-3)

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factor 21y^2-2y-3

factor

21 y^{2} - 2 y - 3

(3 y + 1) (7 y - 3)

Solution steps

21 y^{2} - 2 y - 3

Break the expression into groups

= (21 y^{2} + 7 y) + (- 9 y - 3)

Factor out

7 y

from

21 y^{2} + 7 y : 7 y (3 y + 1)

Factor out

- 3

from

- 9 y - 3 : - 3 (3 y + 1)

= 7 y (3 y + 1) - 3 (3 y + 1)

Factor out common term

3 y + 1

= (3 y + 1) (7 y - 3)

x (x - 4) (x + 1) \leq 0

(x + 3) 2 (x + 1) > 0

2 x y - x + 4 y - 2

2 ∣ p + 3 ∣ \leq 14

(x^{2} + 3) = 2 x - 5