Question

What is the expansion of (3q+1)^3?

Answer 1

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Answer 2

Answer:

27q³ + 1 + 27q² + 9q

Step-by-step explanation:

Here ( 3q + 1)³ is of the form ( a + b ) ³  where a = 3q and b = 1

We know that expended form of ( a + b )³ is

a³ + b³ + 3a²b + 3ab²

Putting values of a and b we get

( 3q + 1)³ = (3q)³ + 1³ + 3(3q)²(1) + 3(3q)(1)²

              = 27q³ + 1 + 27q² + 9q