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Find an expression which represents the difference when (-4x+4) is subtracted from (-9x-7) in simplest terms. Answer:

Find an expression which represents the difference when (−4x+4) (-4 x+4) is subtracted from (−9x−7) (-9 x-7) in simplest terms.\newlineAnswer:

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Full solution

Q. Find an expression which represents the difference when (−4x+4) (-4 x+4) is subtracted from (−9x−7) (-9 x-7) in simplest terms.\newlineAnswer:
  1. Write Problem: Write down the problem to find the difference between the two expressions.\newlineWe need to subtract (−4x+4)(-4x+4) from (−9x−7)(-9x-7).\newlineThis can be written as (−9x−7)−(−4x+4)(-9x-7) - (-4x+4).
  2. Distribute Negative: Distribute the negative sign to the second expression.\newlineWhen subtracting, we need to distribute the negative sign across the second expression, which changes the signs of the terms inside the parentheses.\newlineSo, (−9x−7)−(−4x+4)(-9x-7) - (-4x+4) becomes (−9x−7)+(4x−4)(-9x-7) + (4x-4).
  3. Combine Like Terms: Combine like terms.\newlineNow we combine the xx terms and the constant terms.\newline(−9x+4x)+(−7−4)(-9x + 4x) + (-7 - 4) simplifies to −5x−11-5x - 11.
  4. Check for Errors: Check for any mathematical errors. We distributed the negative sign correctly and combined like terms without any mistakes.

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