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Easy

Question

Use Pascal triangle to expandleft parenthesis x plus y right parenthesis to the power of 5

The correct answer is: Using this, the sixth line can be used to find the expansion of . Thus, we have:


    ANSWER:
    Hint:
    Pascal's Triangle is a method to know the binomial coefficients of terms of binomial expression (x + y)n, where n can be any positive integer and x,y are real numbers. Pascal Triangle is represented in a triangular form, it is kind of a number pattern in the form of a triangular arrangement.
    We are asked to find the binomial expansion of left parenthesis x plus y right parenthesis to the power of 5 using Pascal’s formula.
    Step 1 of 1:
    The Pascal’s triangle is given by:

    Using this, the sixth line can be used to find the expansion of left parenthesis x plus y right parenthesis to the power of 5 . Thus, we have:
    left parenthesis x plus y right parenthesis to the power of 5 equals x to the power of 5 plus 5 x to the power of 4 y plus 10 x cubed y squared plus 10 x squared y cubed plus 5 x y to the power of 4 plus y to the power of 5.
    .Note:
    The answer cam also be found by expanding the formula of blank to the power of 5 C subscript r.

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