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Find an expression which represents the sum of 
(7x-y) and 
(-3x-5y) in simplest terms.
Answer:

Find an expression which represents the sum of (7xy) (7 x-y) and (3x5y) (-3 x-5 y) in simplest terms.\newlineAnswer:

Full solution

Q. Find an expression which represents the sum of (7xy) (7 x-y) and (3x5y) (-3 x-5 y) in simplest terms.\newlineAnswer:
  1. Combine Like Terms: To find the sum of two algebraic expressions, we combine like terms, which means adding the coefficients of the same variable.\newlineSo, we add the coefficients of xx together and the coefficients of yy together.\newline(7xy)+(3x5y)=(7x+(3x))+(y+(5y))(7x - y) + (-3x - 5y) = (7x + (-3x)) + (-y + (-5y))
  2. Add Coefficients: Now we perform the addition of the coefficients for xx and yy separately.\newlineFor xx: 7x+(3x)=4x7x + (-3x) = 4x\newlineFor yy: y+(5y)=6y-y + (-5y) = -6y
  3. Final Expression: Combine the results from the previous step to get the final expression. 4x6y4x - 6y This is the simplest form of the sum of the two given expressions.

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