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22 April, 03:27

How do I simplify this expression

(4x-y) (4x+y)

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Answers (1)
  1. 22 April, 03:29
    0
    16^2 - y^2

    Step-by-step explanation:

    First you need to distribute the (4x - y) to the other numbers. So we'll distribute it one by one, to make it easier. So taking the 4x from (4x - y), you need to distribute it to (4x + y). So 4x * 4x is 16^2. That's the first part, now we need to distribute the 4x to the positive y, which is 4xy. Now we work on the negative y from (4x - y). Distribute the - y to (4x + y). So - y * 4x = - 4xy, and - y * y = - y^2. So now you should have the numbers, 16x^2 + 4xy - 4xy - y^2. The positive 4xy and negative 4xy cancel out so that would just be 0, so you can take that out. Now you should have 16^2 - y^2, and that's the simplified expression.
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