The sum of 4 consecutive multiples of 6 is 540. What is the greatest of these numbers?
1 answer:
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You can factor this out by thinking of the factors of 56 that have a sum of -1. 7 and 8 are factors of 56 and to get a sum of -1, 8 should be negative. 7 + -8 = -1
So
factored out is (y+7x)(y-8x)
We can check this using FOIL
F = (y)(y) =
O = (y)(-8x) = -8xy
I = (7x)(y) = 7xy
L = (7x)(-8x) =
Combine like terms
So
We can check this using FOIL
F = (y)(y) =
O = (y)(-8x) = -8xy
I = (7x)(y) = 7xy
L = (7x)(-8x) =