What is factor n^2-4n+3 ?

The solution to factor n^2-4n+3 is (n-1)(n-3)

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factor n^2-4n+3

factor

n^{2} - 4 n + 3

(n - 1) (n - 3)

Solution steps

n^{2} - 4 n + 3

Break the expression into groups

= (n^{2} - n) + (- 3 n + 3)

Factor out

n

from

n^{2} - n : n (n - 1)

Factor out

- 3

from

- 3 n + 3 : - 3 (n - 1)

= n (n - 1) - 3 (n - 1)

Factor out common term

n - 1

= (n - 1) (n - 3)

- 3 (3 x - 8) = 3 x

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100 x^{2} - 9 y^{2}

(x - 8)^{2} = - 2