How do you factor the expression #35m^2 - 19mn - 42n^2#?

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How do you factor the expression #35m^2 - 19mn - 42n^2#?

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Answer 1 · 2016-06-12T19:41:40

#(7m + 6n)(5m - 7n)#

Explanation:

Find factors of 35 and 42 which combine and subtract to give 19.
"35 and 42"
#" 7 6" # #" "5 xx +6 = 3+0#
#" 5 7"# #" "7 xx -7 = -49 rArr# -49 + 30 =-19

#(7m + 6n)(5m - 7n)#

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How do you factor the expression #35m^2 - 19mn - 42n^2#?

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