Question

how does a person factor this ?
56xy - 60mx -24x^2 + 140my

Answer 1

Very similar in a way the person who has made it....

Answer 2

what does that mean?

Answer 3

Nothing..

Answer 4

well you can start by factoring numbers out :P

Answer 5

56xy - 60mx -24x^2 + 140my
= 4(14xy - 15mx -6x^2 + 35my)
= 4(14xy+35my - (15mx+35my))
= 4((7y)(2x+5m) - 3x(2x+5m))
= 4(2x+5m)(7y-3x)

Answer 6

\[56xy - 60mx -24x^2 + 140my \implies 56xy + 140my - 24x^2 - 60mx\]

\[7y(8x + 20m) -3 (8x + 20m) \implies (7y - 3)(8x + 20m)\]
\[\implies \color{blue}{4(7y - 3)(2x + 5m)}\]

Answer 7

thanks for your help, all of you. your examples are relieving. it all seems so simple now. :)