Question

Factorise it:
a⁴+3a²+4
plz answer

Answer 1

We can write

=> a⁴ + 3a² + 4

as

= a⁴ + 4a² + 4 - a²

Now,

a⁴ = (a²)²

4 = (2)²

and 4a² = 2(a²)(2)

Hence, a⁴ + 4a² + 4 = (a² + 2)²


So, a⁴ + 4a² + 4 - a²

= (a² + 2)² - a²

Now, we know that a² - b² = (a + b)(a - b)

=> (a² + 2)² - a²

= (a² + 2 - a)(a² + 2 + a)

= (a² - a + 2)(a² + a + 2)

Answer 2

that much big answer u have. written really genius