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

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

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factor v^2-10v+21

factor

v^{2} - 10 v + 21

(v - 3) (v - 7)

Solution steps

v^{2} - 10 v + 21

Break the expression into groups

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

Factor out

v

from

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

Factor out

- 7

from

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

= v (v - 3) - 7 (v - 3)

Factor out common term

v - 3

= (v - 3) (v - 7)

\frac{4 x ^{2}}{28 y ^{4} z ^{5}}

\frac{x ^{2} - 16}{x - 2}

(a + b + c)^{2} - (a - b + c)^{2}

(10 x - y + 4) - [- (- 7 x - 21 + 3 y) - (- 3 (- 11 y + 9 x - 5))]