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Rosa Frazier
Mathematics
16 February, 05:08
Factor 64-112w+49w^2
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Chiquita
16 February, 05:32
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49w² - 112w + 64
first, you have to find 2 numbers that add up to equal - 112, but also multiply together to get a product of 3136 (49 * 64)
two numbers that add to - 112 and multiply to equal 3136 is - 56 and - 56
we can add them into the equation by putting them in for - 112x
49w²-56w-56w+64
we now look at what the first 2 numbers have in common and what the last two numbers have in common
49w² and - 56w both have w and 7 in common so we can divide 7w
7w (7w - 8)
-56w and 64 both have - 8 in common so we can divide by - 8
-8 (7w-8)
now we take the 2 numbers on the outside and bring down the numbers in the brackets
(7w-8) (7w-8)
(7w-8) ²
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