Factor the expression completely over the complex numbers. y^4+12y^2+36

Mathematics

2 answers:

laila [671]2 years ago

8 0

Answer:

the answer given is not in complex form using i variable

Step-by-step explanation:

Brums [2.3K]2 years ago

7 0

Y⁴ + 12y² + 36
Now factorize the expression
y⁴ + 6y² + 6y² + 36
= y²(y² + 6) + 6(y² + 6)
= (y² + 6) (y² + 6)
<span>Now 6 is not the perfect square and according to rule, binomial can not be factored as the difference of two perfect squares.
</span>so multiply both.
(y² + 6)² is the answer.

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