Determine whether each pair of expressions is equivalent. Show your work. 2(x-y) and 2x - 2y
1 answer:
Equivalent expressions are expressions that have the same values
Both expressions are equivalent
<h3>How to determine if the expressions are equivalent</h3>The expressions are given as:
2(x-y) and 2x - 2y
Start by expanding 2(x-y).
The above equation means that:
2(x-y) has the same value as 2x - 2y
Hence, both expressions are equivalent
Read more about equivalent expressions at:
You might be interested in
Answer:
Cos x = 1 - +
-
+ ...
Step-by-step explanation:
We use Taylor series expansion to answer this question.
We have to find the expansion of cos x at x = 0
f(x) = cos x, f'(x) = -sin x, f''(x) = -cos x, f'''(x) = sin x, f''''(x) = cos x
Now we evaluate them at x = 0.
f(0) = 1, f'(0) = 0, f''(0) = -1, f'''(0) = 0, f''''(0) = 1
Now, by Taylor series expansion we have
f(x) = f(a) + f'(a)(x-a) + +
+
+ ...
Putting a = 0 and all the values from above in the expansion, we get,
Cos x = 1 - +
-
+ ...