Question

Question #71186

Answer 1

`(a^(2)+B^(2))(a^(2)-B^(2))`

Explanation:

Assuming the problem was Factor `a^4-B^4`,

We note the following trait.

`x^z-y^z=(x^(z/2)+y^(z/2))(x^(z/2)-y^(z/2))`
`"(This works because when you use the FOIL method"`
`"(front,outer,inner,last) the outer and the inner cancel each other"` `"out)"`

We have:
`a^4-B^4`

Using our rule, we have: `(a^(4/2)+B^(4/2))(a^(4/2)-B^(4/2))`

=>`(a^(2)+B^(2))(a^(2)-B^(2))`