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Which expression is equivalent to 
-9x-(-6y) ?

6y+9x

9x+6y

-9x+6y

-9x-6y

Which expression is equivalent to 9x(6y) -9 x-(-6 y) ?\newline6y+9x 6 y+9 x \newline9x+6y 9 x+6 y \newline9x+6y -9 x+6 y \newline9x6y -9 x-6 y

Full solution

Q. Which expression is equivalent to 9x(6y) -9 x-(-6 y) ?\newline6y+9x 6 y+9 x \newline9x+6y 9 x+6 y \newline9x+6y -9 x+6 y \newline9x6y -9 x-6 y
  1. Simplify Expression: Simplify the expression by removing the parentheses.\newline9x(6y)-9x - (-6y) can be simplified by recognizing that subtracting a negative is the same as adding a positive.\newlineSo, 9x(6y)-9x - (-6y) becomes 9x+6y-9x + 6y.
  2. Combine Like Terms: Check for any like terms that can be combined.\newlineIn the expression 9x+6y-9x + 6y, there are no like terms since xx and yy are different variables.\newlineTherefore, the expression remains as 9x+6y-9x + 6y.
  3. Compare with Options: Compare the simplified expression with the given options.\newlineThe simplified expression is 9x+6y-9x + 6y. Now, let's compare it with the given options:\newlineA) 6y+9x6y + 9x (This is not equivalent because the signs are different.)\newlineB) 9x+6y9x + 6y (This is not equivalent because the signs are different.)\newlineC) 9x+6y-9x + 6y (This is equivalent to our simplified expression.)\newlineD) 9x6y-9x - 6y (This is not equivalent because it suggests subtracting 6y6y, not adding.)\newlineThe correct equivalent expression is option C) 9x+6y-9x + 6y.

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