What is factor 24r^3-64r^2-21r+56 ?

The solution to factor 24r^3-64r^2-21r+56 is (3r-8)(8r^2-7)

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factor 24r^3-64r^2-21r+56

factor

24 r^{3} - 64 r^{2} - 21 r + 56

(3 r - 8) (8 r^{2} - 7)

Solution steps

24 r^{3} - 64 r^{2} - 21 r + 56

= (24 r^{3} - 64 r^{2}) + (- 21 r + 56)

Factor out

8 r^{2}

from

24 r^{3} - 64 r^{2} : 8 r^{2} (3 r - 8)

Factor out

- 7

from

- 21 r + 56 : - 7 (3 r - 8)

= 8 r^{2} (3 r - 8) - 7 (3 r - 8)

Factor out common term

3 r - 8

= (3 r - 8) (8 r^{2} - 7)

(x^{2} - 2 x) (2 x - 3)

60 \times 6

60 \times 7

25 \times 310

\frac{x}{2} - \frac{x}{2}

What is factor 24r^3-64r^2-21r+56 ?
The solution to factor 24r^3-64r^2-21r+56 is (3r-8)(8r^2-7)