Answer:
Option D
Step-by-step explanation:
We have to factorize the expression given
\((24x^{6}-1029y^{3})\)
We will take the common 3 out of this expression = \(3(8x^{6}-343x^{3})\)
Now we can rewrite the expression as \(3[(2x^{2})^{3}-(7x)^{3}]\)
As we know the formula [(\((a^{3}-b^{3})=(a-b)(a^{2}+ab+b^{2})\)]
Now convert our expression in this form
\(3[(2x^{2} -7x)(4x^{4}+49x^{2} +14x^{3})]\)
Therefore, factors will be 3, (2x² -7x) and \((4x^{4} +49x^{2} +14x^{3})\)
Option D all of the above is the answer.
