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What are the coefficients for the binomial expansion of (p q)6? 1, 8, 28, 56, 70, 56, 28, 8, 1 1, 6, 15, 20, 15, 6, 1 1, 5, 10, 10, 5, 1 1, 4, 6, 4, 1

Sagot :

An expression is defined as a set of numbers, variables, and mathematical operations. The coefficients for the binomial expansion of (p+q)⁶ are 1, 6, 15, and 20.

What is an Expression?

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The expansion of the given binomial (p+q)⁶ can be done as shown below,

(p+q)⁶ = p⁶ + 6p⁵q + 15p⁴q² + 20p³q³ + 15p²q⁴ + 6pq⁵ + q⁶

Hence, the coefficients for the binomial expansion of (p+q)⁶ is 1, 6, 15, and 20.

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