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Mathematics 10 Online
OpenStudy (anonymous):

Factor completely 5ab + 3ay + 5b + 3y.

OpenStudy (anonymous):

@iYuko

OpenStudy (welshfella):

group them together this way first 5ab + 5b + 3ay + 3y now try and factor the first 2 terms and the last 2

OpenStudy (welshfella):

what is common to 5ab and 5b ?

OpenStudy (anonymous):

the b

OpenStudy (welshfella):

only the b?

OpenStudy (welshfella):

what about the 5?

OpenStudy (anonymous):

well yea the 5b

OpenStudy (welshfella):

OK so take the 5b out - divide 5ab + 5b by 5b and put the result in parentheses

OpenStudy (welshfella):

can you do that?

OpenStudy (anonymous):

idk im dumb bro

OpenStudy (welshfella):

Ok so 5ab / 5b = a and 5b / 5b = 1 so the factors of 5ab + 5b are 5b(a + 1)

OpenStudy (welshfella):

get it?

OpenStudy (welshfella):

now you can do the same processing with 3ay + 3y - take 3y out and divide as above

OpenStudy (welshfella):

factoring means changing an expression to the form where one part multiplies the other

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