Question 925477: Use Pascal's triangle to expand the expression.
(x + y)^8
Answer by MathLover1(20850)   (Show Source):
You can put this solution on YOUR website! Use Pascal's Triangle to expand each binomial.
ANSWER:
Pascal's Triangle.
It is a triangle of numbers, which is given below:
1
1 1
1 2 1
1 3 3 1
1 4 6 4 1
1 5 10 10 5 1
1 6 15 20 15 6 1
1 7 21 35 35 21 7 1
1 8 28 56 70 56 28 8 1
1 9 36 84 126 126 84 36 9 1
1 10 45 120 210 252 210 120 45 10 1
Each number in the triangle is the sum of two above. For example, the 6 on line 5 is the sum of the pair of 3's above. So the next line is
1, 10 (1 + 9), 45 (9 + 36), 120 (36 + 84), etc.
Study these numbers and see if you can figure what the next line should be before reading on . . .
Your question.
Nineth raw of the triangle gives,COEFFIECIENTS OF THE EXPANSION.
That is,
     
And the variable terms will come like this,
 )
Since here it is  , the sign of the all terms will be positive,
which is the answer to your question
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