What is the 8th term of the binomial expansion (x + y)10?
2 answers:
Answer:
120x^3y^7
We can use the Pascal's triangle to solve this question.
This pascal's triangle is shown in the Image below. To build the triangle, begin with the number 1 at the top, then continue placing numbers below it in a triangular pattern. In this way, each number are the numbers directly above added together. So, the expression is :
(x+y)10
After you do the steps you be left with:
120x^3y^7
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Answer:
3⁷
Step-by-step explanation:
it's kinda messy but my step by step is in the picture. practically when you "multiply" an exponent (as long as they have the same base number) with another like 3⁴×3⁵ or (3⁴)⁵ you add the exponents together so you'd get 3⁴×3⁵=3⁹
when dividing an exponent by another exponent (with again, the same base number) you subtract the exponents like this: 3⁶÷3² or 3⁶/3² would equal 3⁴
