Answer: x⁶.
- A y⁶
- B x⁶ + y⁶
- C x⁶
- D 6xy⁵
Correct answer: C. x⁶
Explanation: T<sub>1</sub> = 6C0 x<sup>6</sup> y<sup>0</sup> = x<sup>6.</sup>
Row n of Pascal's triangle gives the coefficients nC0, nC1, ..., nCn for the expansion of (a+b)ⁿ; each number is the sum of the two numbers diagonally above it, a direct visual proof of the identity nCr = (n-1)C(r-1) + (n-1)Cr.
Concept context
Expansion of (a+b) n , general term, middle term, binomial coefficients, and greatest term