Expand and simplify (x-7)^2

  1. Write out the question fully like so: =(x-7)(x-7) 2. Expand the brackets using the FOIL method. i.e First Outer Inner Last or the Crab Claw Method You should get: = x^2 - 7x - 7x + 49 Be careful with signs, remember that a negative number multiplied by a negative number makes a positive number 3. Collect terms together i.e. simplify = x^2 - 14x + 49
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y is inversely proportional to d^2 and when d = 10, y = 4. d is directly proportional to x^2 and when x = 2, d = 24. Find a formula for y in terms of x. Give your answer in its simplest form.


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