What is factor a^2-10a+21 ?

The solution to factor a^2-10a+21 is (a-3)(a-7)

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factor a^2-10a+21

factor

a^{2} - 10 a + 21

(a - 3) (a - 7)

Solution steps

a^{2} - 10 a + 21

Break the expression into groups

= (a^{2} - 3 a) + (- 7 a + 21)

Factor out

a

from

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

Factor out

- 7

from

- 7 a + 21 : - 7 (a - 3)

= a (a - 3) - 7 (a - 3)

Factor out common term

a - 3

= (a - 3) (a - 7)

4 (x - 5)^{2} - 50 = 2

8 e + 3 (5 - e) = 10

- \frac{x}{3} + 6 - 5 = 0

- 4 x \geq 6

x^{2} + 5 x y + 6 y^{2}