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General
Easy

Question

Use Pascal triangle to expandleft parenthesis x plus y right parenthesis to the power of 6

The correct answer is: From the triangle, the seventh line would give the coefficients of the expansion of the polynomial . Thus, we have:


    ANSWER:
    Hint:
    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 6  using Pascal’s formula.
    Step 1 of 1:
    The Pascal’s triangle is given by:

    From the triangle, the seventh line would give the coefficients of the expansion of the polynomial left parenthesis x plus y right parenthesis to the power of 6 . Thus, we have:
    left parenthesis x plus y right parenthesis to the power of 6 equals x to the power of 6 plus 6 x to the power of 5 y plus 15 x to the power of 4 y squared plus 20 x cubed y cubed plus 15 x squared y to the power of 4 plus 6 x y to the power of 5 plus y to the power of 6
    Note:
    The expansion of the polynomial  left parenthesis x plus y right parenthesis to the power of 6 can be found using the values of 6 C subscript r

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