How many terms are in the binomial expansion of (3x 5)9?
2 answers:
Answer: The number of terms in the binomial expansion of is 10.
Step-by-step explanation: We are given to find the number of terms in the following binomial expansion:
We know that
the number of terms in the binomial expansion of is given by
In the given binomial expansion (i), we have
Therefore, the number of terms in the given binomial expansion will be
Thus, there are 10 terms in the binomial expansion of
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Answer:
x - 2, if x > 5
Step-by-step explanation:
The vertical lines either side of the expression mean absolute value.
The absolute value of a number is its <u>positive numerical value</u>.
if x > 5 then as 5 > 2, the values inside the vertical lines will always be positive. Therefore, we can disregard the absolute value.
Therefore:
x - 2, if x > 5
To find the range (output values) of the expression, substitute x = 5 into the expression:
⇒ 5 - 2 = 3
Therefore, |x - 2| > 3, if x > 5
