What is factor 5n^2-22n+21 ?

The solution to factor 5n^2-22n+21 is (5n-7)(n-3)

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factor 5n^2-22n+21

factor

5 n^{2} - 22 n + 21

(5 n - 7) (n - 3)

Solution steps

5 n^{2} - 22 n + 21

Break the expression into groups

= (5 n^{2} - 7 n) + (- 15 n + 21)

Factor out

n

from

5 n^{2} - 7 n : n (5 n - 7)

Factor out

- 3

from

- 15 n + 21 : - 3 (5 n - 7)

= n (5 n - 7) - 3 (5 n - 7)

Factor out common term

5 n - 7

= (5 n - 7) (n - 3)

\frac{5 y + 4}{2} = \frac{3 y - 2}{3}

\frac{( 2 x ^{- 2} y ) ^{- 2}}{( 3 x ^{3} y ^{4} ) ^{3}}

x^{2} + 3

\frac{2}{5} \cdot 10

\frac{45 x ^{9} y ^{8}}{- 3 x ^{7} y ^{4}}