What is factor r^2-7r+12 ?

The solution to factor r^2-7r+12 is (r-3)(r-4)

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factor r^2-7r+12

factor

r^{2} - 7 r + 12

(r - 3) (r - 4)

Solution steps

r^{2} - 7 r + 12

Break the expression into groups

= (r^{2} - 3 r) + (- 4 r + 12)

Factor out

r

from

r^{2} - 3 r : r (r - 3)

Factor out

- 4

from

- 4 r + 12 : - 4 (r - 3)

= r (r - 3) - 4 (r - 3)

Factor out common term

r - 3

= (r - 3) (r - 4)

m^{2} + 8 m + 7

4 x + 10 = 10 x - 8

- 3 x^{2} - 6 x + 5 = 0

\frac{2 x + 3}{3} \leq 3

64 a^{2} - 48 a + 9