Answer:
Factorized form of the expression will be (x² + 2)(6x²- 5).
Step-by-step explanation:
In the given expression we have to factorize it by grouping.
For which we will divide the expression in 2 groups as below.
\(6x^{4}-5x^{2}+12x^{2}-10\)
= \((6x^{4}-5x^{2})+(12x^{2}-10)\)
Now we take the common terms x² from first term and 2 from second group.
= x²(6x² - 5) + 2(6x² - 5)
= (x² + 2)(6x² - 5)
Therefore, resulting expression after factorization will be (x² + 2)(6x² - 5)
