Question

Select the correct answer. When using the binomial formula, which of the following is a correct step in the expansion of (x + y)? 4(4-1)(4-2) (4-³)³ + 31 24 + 24 + 24 + ○ D. x + Ο Α. OB. C. x(4-¹)y + 4(4-¹) (4-2) y² + 2(4-¹)y + 4(4-¹) x(4-2) y² + x(4-1)y + 4(4-¹)(4-2)² + (4-1)(4-2)(4-3)3 + 4(4-1)(4-2)(4-3) (4-4) z 4(4 − 1)(4 − 2)(4 — 3) (4-4) - 3 4(4-1)(4-2) (4-3)³ + 3 4(4-1)(4-2)(4-3) (4-4) 41 4(4 − 1)(4 − 2)(4 — 3) (4-4) (4-1)y + 4(4-1)(4-2) (4-3)³ +

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Answer 1

The correct answer is C. In the expansion of (x + y), the correct step is x(4-1)y + 4(4-1) (4-2) y² + 2(4-1)y + 4(4-1). This step uses the binomial formula to expand the expression (x + y) to the desired degree. The other choices do not use the correct form of the binomial formula or do not accurately represent the expansion of (x + y).