What is the coefficient of x4y4 in the expansion of (x + y)8?
2 answers:
Answer:
70
Step-by-step explanation:
If you use Pascal's Triangle, you will need 9 lines, since there are 9 terms in a binomial raised to the 8th power. Those 9 terms are:
1, 8, 28, 56, 70, 56, 28, 8, 1
The first expansion through the one we need are below (I hope you know how to use Pascal's Triangle!):
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Answer:
a ≠ 2
Step-by-step explanation:
Given
The denominator of the rational function cannot be zero as this would make it undefined. Equating the denominator to zero and solving gives the value that a cannot be, that is
- 3a + 6 = 0 ( subtract 6 from both sides )
- 3a = - 6 ( divide both sides by - 3 )
a = 2 ← excluded value
The box provides some examples of how<em> exponents can be used to shorten repeated multiplication</em>. The first, third, and fourth boxes all show how the repeated multiplication of 2, 3, and 5 can all be abbreviated as and
. The only expression which doesn't belong is
, because it's showing how repeated <em>addition</em> can be shortened to <em>multiplication</em>.