LilliaH559202 LilliaH559202

29-10-2022
Mathematics

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42xy - 7x + 24my - 4m

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RianS580716 RianS580716

29-10-2022

To factor the expression

[tex]42xy-7x+24my-4m[/tex]

we notice that the first two terms have in common an x and a seven; the last two terms have in common an m and a 4. then we have:

[tex]42xy-7x+24my-4m=7x(6y-1)+4m(6y-1)[/tex]

now we notice that the term (6y-1) appears in both terms, this means that this is now a common factor, then:

[tex]7x(6y-1)+4m(6y-1)=(6y-1)(7x+4m)[/tex]

Therefore:

[tex]42xy-7x+24my-4m=(6y-1)(7x+4m)[/tex]

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