What is factor 14x^2+5xz-z^2 ?

The solution to factor 14x^2+5xz-z^2 is (7x-z)(2x+z)

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factor 14x^2+5xz-z^2

factor

14 x^{2} + 5 x z - z^{2}

(7 x - z) (2 x + z)

Solution steps

14 x^{2} + 5 x z - z^{2}

Break the expression into groups

= (14 x^{2} - 2 x z) + (7 x z - z^{2})

Factor out

2 x

from

14 x^{2} - 2 x z : 2 x (7 x - z)

Factor out

z

from

7 x z - z^{2} : z (7 x - z)

= 2 x (7 x - z) + z (7 x - z)

Factor out common term

7 x - z

= (7 x - z) (2 x + z)

5 m^{2} + 13 m - 6

(2 x - 1)^{2} = 81

(3 w - 10) w = 77

x^{2} - 10 x + 24 < 0

12 - \frac{a}{65}

What is factor 14x^2+5xz-z^2 ?
The solution to factor 14x^2+5xz-z^2 is (7x-z)(2x+z)