What is factor kn-mn-n^2+mk ?

The solution to factor kn-mn-n^2+mk is (n+m)(k-n)

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factor kn-mn-n^2+mk

factor

kn - mn - n^{2} + mk

(n + m) (k - n)

Solution steps

kn - mn - n^{2} + mk

Factor out common term

k

= k (n + m) - mn - n^{2}

Apply exponent rule:

a^{b + c} = a^{b} a^{c}

n^{2} = nn

= k (n + m) - mn - nn

Factor out common term

n

= k (n + m) - n (m + n)

Factor out common term

(n + m)

= (n + m) (k - n)

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7 (2 x - 4) = 42