Which of these expressions is not equivalent to the others?

1 answer:

4 0

Normally You would need to simplify all of them, to see what their values are like.

Already from the start, however, we can see that 9n + 3 + 2 and 9n + 11 isnt the same value. Based on this, we should only need to simplify one of the other, to get either 9n + 5 or 9n + 11.

Lets pick the upper one.

(4n + 3) + 5n + 8 - 6
4n + 3 +5n + 2
9n + 5.

This indicated that 9n+11 is the odd one.

To make sure, we can solve the next one:
(4n + 5n) + (3 + 8 - 6)
9n + 5
Which indicated the same thing.

9n+11 is the "outsider", which means:

9n + 11 is the correct answer for this task.

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Simplify

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____________________

Simplifying:

$E=\dfrac{\frac{x}{y}-\frac{y}{x}}{\frac{1}{y}+\frac{1}{x}}$

Multiply both the numerator and the denominator by $xy:$

$E=\dfrac{xy\cdot \left(\frac{x}{y}-\frac{y}{x} \right )}{xy\cdot \left(\frac{1}{y}+\frac{1}{x} \right )}\\\\\\ E=\dfrac{\frac{xy\cdot x}{y}-\frac{xy\cdot y}{x}}{\frac{xy}{y}+\frac{xy}{x}}\\\\\\ E=\dfrac{x^{2}-y^{2}}{x+y}\\\\\\ E=\dfrac{(x+y)(x-y)}{x+y}$

Simplify common factors:

$E=x-y\\\\\\ \therefore~~\boxed{\begin{array}{c}\dfrac{\frac{x}{y}-\frac{y}{x}}{\frac{1}{y}+\frac{1}{x}}=x-y \end{array}}$

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Solve x+12/x+4=×/x+8

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Cross multiply...
Thus,
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expand...
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simply further by adding ask like terms...
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