Question

factorize this a⁴+64
​

Answer 1

$\huge\mathbb\green{ANSWER!!!!}$

a^4 + 64

a^4 + 4^4

Answer 2

Step-by-step explanation:

Solution:

=> a⁴+64

Note that this is positive and therefore non-zero for any real value of

x. So it has no linear factors with real coefficients. We can find quadratic factors.

a⁴+64=(a²+8)²-16a²

a⁴+64=(a²+8)²-(4a)²

a⁴+64=(a²+8+4a)(a²+8-4a)

a⁴+64=(a²+4a+8)(a²-4a+8)