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Find an expression which represents the difference when (-3x+9y) is subtracted from (-10 x-3y) in simplest terms. Answer:

Find an expression which represents the difference when (−3x+9y) (-3 x+9 y) is subtracted from (−10x−3y) (-10 x-3 y) in simplest terms.\newlineAnswer:

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Full solution

Q. Find an expression which represents the difference when (−3x+9y) (-3 x+9 y) is subtracted from (−10x−3y) (-10 x-3 y) in simplest terms.\newlineAnswer:
  1. Change Sign and Combine: To find the difference when one polynomial is subtracted from another, we combine like terms after changing the sign of each term in the polynomial being subtracted.\newline(−10x−3y)−(−3x+9y)(-10x - 3y) - (-3x + 9y)
  2. Distribute Negative Sign: First, distribute the negative sign to each term in the second polynomial.\newline(−10x−3y)−(−3x)−(9y)(-10x - 3y) - (-3x) - (9y)
  3. Combine Like Terms: Now, simplify by combining like terms.\newline(−10x+3x)+(−3y−9y)(-10x + 3x) + (-3y - 9y)
  4. Perform Addition and Subtraction: Perform the addition and subtraction for like terms.\newline−10x+3x=−7x-10x + 3x = -7x\newline−3y−9y=−12y-3y - 9y = -12y
  5. Final Expression: Combine the simplified terms to get the final expression. −7x−12y-7x - 12y

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