What is factor 15x^2-8x-16 ?

The solution to factor 15x^2-8x-16 is (5x+4)(3x-4)

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factor 15x^2-8x-16

factor

15 x^{2} - 8 x - 16

(5 x + 4) (3 x - 4)

Solution steps

15 x^{2} - 8 x - 16

Break the expression into groups

= (15 x^{2} + 12 x) + (- 20 x - 16)

Factor out

3 x

from

15 x^{2} + 12 x : 3 x (5 x + 4)

Factor out

- 4

from

- 20 x - 16 : - 4 (5 x + 4)

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

Factor out common term

5 x + 4

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

- 13 x^{2} - 9 x + 4 = 5 + 2 x^{2} - x

4 x^{2} - 25 \leq 0

(- 11)^{4}

2 x^{3} - 4 x^{2}

a^{2} + ab