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

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

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factor a^2-7a+12

factor

a^{2} - 7 a + 12

(a - 3) (a - 4)

Solution steps

a^{2} - 7 a + 12

Break the expression into groups

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

Factor out

a

from

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

Factor out

- 4

from

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

= a (a - 3) - 4 (a - 3)

Factor out common term

a - 3

= (a - 3) (a - 4)

- 2 \cdot \frac{5}{2}

5 r^{2} - 36 r = 32

4 - 2 x - 6 y + 3 x y

a^{- \frac{2}{3}}

144 n^{2} + 144 n = - 36