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:

$(a+b)^{4}=(a+b)(a+b)(a+b)(a+b)$

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!!!!