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factorise 15 xy – 6 X + 5 Y – 2 please answer me fast who answered will mark as brainleist
Question
factorise 15 xy – 6 X + 5 Y – 2 please answer me fast who answered will mark as brainleist
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Mathematics
3 years
2021-08-25T18:10:20+00:00
2021-08-25T18:10:20+00:00 2 Answers
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Answers ( )
Answer:
(5y – 2)(3x + 1)
Step-by-step explanation:
Let’s focus on those first two terms, 15xy and 6x. They have two factors in common, an x and a 3, giving them a greatest common factor of 3x. If we factor that out, the expression 15xy – 6x becomes 3x(5y – 2). Substituting that into our original expression, we get the new expression
Let’s group those last two terms to make our next step clearer:
Now, each term has the factor (5y – 2) in common. We can pull it out to get the fully factored expression
Answer:
15xy-6x+5y-2
15xy+5y-6x-2
5y(3x+1) -2(3x+1)
(we pick one out of the (3x+1) brackets.
your final answer becomes:
(5y-2)(3x+1)