What is factor 49r^3+42r^2-42r-36 ?

The solution to factor 49r^3+42r^2-42r-36 is (7r+6)(7r^2-6)

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factor 49r^3+42r^2-42r-36

factor

49 r^{3} + 42 r^{2} - 42 r - 36

(7 r + 6) (7 r^{2} - 6)

Solution steps

49 r^{3} + 42 r^{2} - 42 r - 36

= (49 r^{3} + 42 r^{2}) + (- 42 r - 36)

Factor out

7 r^{2}

from

49 r^{3} + 42 r^{2} : 7 r^{2} (7 r + 6)

Factor out

- 6

from

- 42 r - 36 : - 6 (7 r + 6)

= 7 r^{2} (7 r + 6) - 6 (7 r + 6)

Factor out common term

7 r + 6

= (7 r + 6) (7 r^{2} - 6)

12 x y - 9 x - 8 y + 6

5 x - 2 = 2 x + 13

3 r^{5} s \cdot 10 s^{3}

(x + 2) (x + 3) + 3 (x + 2) \leq 0

a^{2} - 13 ab + 42 b^{2}

What is factor 49r^3+42r^2-42r-36 ?
The solution to factor 49r^3+42r^2-42r-36 is (7r+6)(7r^2-6)