Question

42xy - 7x + 24my - 4m

Answer 1

To factor the expression

`42xy-7x+24my-4m`

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:

`42xy-7x+24my-4m=7x(6y-1)+4m(6y-1)`

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

`7x(6y-1)+4m(6y-1)=(6y-1)(7x+4m)`

Therefore:

`42xy-7x+24my-4m=(6y-1)(7x+4m)`