Question

When should you use the fact that (a+b)4=a4+4a3b+6a2b2+4ab3+b4 answers?

Answer 1

According to the question we have this binomial formula:


`(a+b)^(4)=a^(4)+4a^(3)b+6a^(2)b^(2)+4ab^(3)+b^(4)`

This means that
`a+b` has multiplicity 4, that is:


`(a+b)^(4)=(a+b)(a+b)(a+b)(a+b)<strong></strong>`

Using geometry:

1. When the exponent of
`(a+b)` is equal to 1 then this can be solved using a straight line.

2. When the exponent of
`(a+b)` is equal to 2 then this can be solved using a rectangle.

3. When the exponent of
`(a+b)` is equal to 3 then this can be solved using a cube.

4. For our problem given that the exponent of
`(a+b)` is equal to 4 we are not able to solve this problem using geometry. We cannot draw in 4 dimensions!!!!