What is factor 4x^3-5x^2-64x+80 ?

The solution to factor 4x^3-5x^2-64x+80 is (4x-5)(x+4)(x-4)

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factor 4x^3-5x^2-64x+80

factor

4 x^{3} - 5 x^{2} - 64 x + 80

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

Solution steps

4 x^{3} - 5 x^{2} - 64 x + 80

= (4 x^{3} - 5 x^{2}) + (- 64 x + 80)

Factor out

x^{2}

from

4 x^{3} - 5 x^{2} : x^{2} (4 x - 5)

Factor out

- 16

from

- 64 x + 80 : - 16 (4 x - 5)

= x^{2} (4 x - 5) - 16 (4 x - 5)

Factor out common term

4 x - 5

= (4 x - 5) (x^{2} - 16)

Factor

x^{2} - 16 : (x + 4) (x - 4)

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

3364

3375

- x^{2} - 6

\frac{15}{3} - \frac{6}{3}

(x + 2)^{2} - 9

What is factor 4x^3-5x^2-64x+80 ?
The solution to factor 4x^3-5x^2-64x+80 is (4x-5)(x+4)(x-4)