Using Pascal triangle, write down the binomial expansion of
simplifying all the terms.​

1 + 8y + 28y² + 56y³ + 70 + 56 + 28 + 8 +

Step-by-step explanation:

For the expansion of

Using the row of Pascal's triangle for n = 8 , that is the coefficients are

1  8  28  56  70  56  28  8  1

Decreasing powers of 1 from to

Increasing powers of y from to

Then

= 1 . . + 8. . + 28. .y² + 56. .y³ + 70. . + 56. 1³. + 28. 1². + 8. . + 1. .

= 1 + 8y + 28y² + 56y³ + 70 + 56 + 28 + 8 +

Step-by-step explanation:

Given binomial

Expanding using Pascal triangle (attached)

Replace a and b with y and 1 in the bottom row of the triangle

7. d. 64

8. i. 32

9. c. 125

10. j. none of the above

11. d. 81

12. i. 216

13. e. none of the above

14. g. 240

15. e. none of the above

16. g. 32

17.   e. none of the above