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Find an expression which represents the difference when (-4x-6y) is subtracted from (-3x+4y) in simplest terms. Answer:

Find an expression which represents the difference when (−4x−6y) (-4 x-6 y) is subtracted from (−3x+4y) (-3 x+4 y) in simplest terms.\newlineAnswer:

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Full solution

Q. Find an expression which represents the difference when (−4x−6y) (-4 x-6 y) is subtracted from (−3x+4y) (-3 x+4 y) in simplest terms.\newlineAnswer:
  1. Distribute negative sign: To find the difference when one expression is subtracted from another, we combine like terms after changing the sign of each term in the expression being subtracted.\newline(−3x+4y)−(−4x−6y)(-3x + 4y) - (-4x - 6y)
  2. Simplify expression: First, distribute the negative sign to the terms in the second expression.\newline(−3x+4y)−(−4x)−(−6y)(-3x + 4y) - (-4x) - (-6y)
  3. Combine like terms: Simplify the expression by removing the parentheses and changing the signs of the terms that were negative in the second expression. (−3x+4y)+4x+6y(-3x + 4y) + 4x + 6y
  4. Perform addition: Combine like terms by adding the coefficients of the xx terms and the yy terms separately.(−3x+4x)+(4y+6y)(-3x + 4x) + (4y + 6y)
  5. Simplify further: Perform the addition of the coefficients. 1x+10y1x + 10y
  6. Simplify further: Perform the addition of the coefficients. \newline1x+10y1x + 10ySince 1x1x is the same as xx, we can simplify the expression further.\newlinex+10yx + 10y

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