What is factor mr+ns+nr+ms ?

The solution to factor mr+ns+nr+ms is (r+s)(m+n)

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factor mr+ns+nr+ms

factor

m r + n s + n r + m s

(r + s) (m + n)

Solution steps

m r + n s + n r + m s

Factor out common term

m

= m (r + s) + n s + n r

Factor out common term

n

= m (r + s) + n (s + r)

Factor out common term

(r + s)

= (r + s) (m + n)

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