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Find an expression which represents the sum of (-5x-4y) and (4x+6y) in simplest terms. Answer:

Find an expression which represents the sum of (−5x−4y) (-5 x-4 y) and (4x+6y) (4 x+6 y) in simplest terms.\newlineAnswer:

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Full solution

Q. Find an expression which represents the sum of (−5x−4y) (-5 x-4 y) and (4x+6y) (4 x+6 y) in simplest terms.\newlineAnswer:
  1. Identify Like Terms: To find the sum of the two expressions, we need to combine like terms. Like terms are terms that have the same variable raised to the same power. In this case, the like terms are the terms with xx and the terms with yy.
  2. Combine xx Terms: We combine the coefficients of the xx terms: −5x-5x and 4x4x. The sum of these coefficients is −5+4-5 + 4, which equals −1-1. So, the combined xx term is −1x-1x, which can be written simply as −x-x.
  3. Combine y Terms: Next, we combine the coefficients of the y terms: −4y-4y and 6y6y. The sum of these coefficients is −4+6-4 + 6, which equals 22. So, the combined y term is 2y2y.
  4. Write Sum of Expressions: Now, we write the sum of the two expressions by combining the xx and yy terms we found: −x+2y-x + 2y.

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