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Find an expression which represents the difference when 
(-10 x+y) is subtracted from 
(7x-7y) in simplest terms.
Answer:

Find an expression which represents the difference when (10x+y) (-10 x+y) is subtracted from (7x7y) (7 x-7 y) in simplest terms.\newlineAnswer:

Full solution

Q. Find an expression which represents the difference when (10x+y) (-10 x+y) is subtracted from (7x7y) (7 x-7 y) in simplest terms.\newlineAnswer:
  1. Combine Terms: 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.\newlineSubtracting (10x+y)(-10x + y) from (7x7y)(7x - 7y) involves changing the sign of each term in (10x+y)(-10x + y) and then adding the result to (7x7y)(7x - 7y).
  2. Change Signs: First, change the sign of each term in (10x+y)(-10x + y) to get (10xy)(10x - y).
  3. Add Expressions: Now, add the resulting expression (10xy)(10x - y) to (7x7y)(7x - 7y).(7x7y)+(10xy)=7x+10x7yy(7x - 7y) + (10x - y) = 7x + 10x - 7y - y
  4. Combine Coefficients: Combine like terms by adding the coefficients of xx together and the coefficients of yy together.7x+10x=17x7x + 10x = 17x7yy=8y-7y - y = -8ySo, the expression becomes 17x8y17x - 8y.
  5. Final Expression: The final expression in simplest terms is 17x8y17x - 8y.

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