I need some major help with this algebra question. Thanks for your time! 😀
3 Answers
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mr + ns – nr – ms
bring similar terms together
mr – ms – nr + ns
take out similar factors in each pair of terms
m(r – s) -n (r – s)
(m – n) (r – s)
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mr + ns – nr – ms
mr – nr + ns – ms rearrange
r(m-n) + s(n-m) factor
CHECK
m = 5
r = 2
n = 6
s = 12
mr + ns – nr – ms
(5)(2) + (6)(12) – (6)(2) – (5)(12)
= 10 + 72 – 12 – 60
= 82 – 12 = 70 – 60 = 10
r(m – n) + s(n-m)
2(5-6) + 12(6-5)
= 2(-1) + 12(1)
= -2 + 12
= 10
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m ( r – s ) – n ( r – s )
( r – s ) ( m – n )
