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Lf p(x) = x² - 1 and 9(x) = 5(x-1), which expression is equivalent to (0-9)(x)?

A) 5(x - 1) – x²-1
B) (5x - 1) - (x² - 1)
C) (x² - 1) - 5(x - 1) (x² - 1) – 5x – 1​

1 Answer

2 votes

Final answer:

To find the equivalent expression of (0-9)(x), we simplify the given expression step by step and solve for x.

Step-by-step explanation:

To find an expression equivalent to (0-9)(x), we can simplify it step by step:

(0-9)(x) = -9x

Now, let's simplify the given expression:

9(x) = 5(x-1)

Using the distributive property, we can expand the expression:

9x = 5(x) - 5(1)

9x = 5x - 5

Now, let's substitute -9x for (0-9)(x) in the equation:

-9x = 5x - 5

Next, let's simplify the equation:

-9x - 5x = -5

-14x = -5

Finally, we can isolate x by dividing both sides of the equation by -14:

x = -5 / -14

So, the expression equivalent to (0-9)(x) is x = 5 / 14.

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