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Find an expression which represents the difference when (-8x+9) is subtracted from (9x+5) in simplest terms. Answer:

Find an expression which represents the difference when (−8x+9) (-8 x+9) is subtracted from (9x+5) (9 x+5) in simplest terms.\newlineAnswer:

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Full solution

Q. Find an expression which represents the difference when (−8x+9) (-8 x+9) is subtracted from (9x+5) (9 x+5) in simplest terms.\newlineAnswer:
  1. Write Problem: Write down the problem to find the difference between the two expressions.\newlineWe need to subtract (−8x+9)(-8x+9) from (9x+5)(9x+5). This can be written as:\newline(9x+5)−(−8x+9)(9x+5) - (-8x+9)
  2. Distribute Negative: Distribute the negative sign across the second expression.\newlineWhen subtracting, we need to change the sign of each term in the second expression. This gives us:\newline(9x+5)−(−8x)−9(9x+5) - (-8x) - 9\newlineWhich simplifies to:\newline9x+5+8x−99x + 5 + 8x - 9
  3. Combine Like Terms: Combine like terms.\newlineNow we combine the xx terms and the constant terms:\newline9x+8x+5−99x + 8x + 5 - 9\newlineThis simplifies to:\newline17x−417x - 4

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