Question

Maths assignment
a^4-16

Answer 1

Explanation:

The difference of squares: a² - b² factors to (a - b) (a + b)

Let x⁴ = (x²)²

Let 16 = 4²

Now by difference of squares x⁴ - 16 factors as (x² - 4)(x² + 4)

The front factor, (x² - 4), can factor by difference of squares again as (x - 2)(x + 2)

Answer 2

`a^4-16`

`\left(a^2\right)^2-4^2`

`\left(a^2+4\right)\left(a^2-4\right)`

`=\left(a^2+4\right)\left(a+2\right)\left(a-2\right)`

------------------------

Hope it helps...

Have a great day!!