Answer:
Option D : \(4(2x^{5} +x^{2} -3)\)
Step-by-step explanation:
Given :\(8x^{5} +4x^{2} -12\)
Solution:
Option A: \(8(x^{5} +4x^{2} -12)\)
solving this
\(8x^{5} +32x^{2} -96\)
Since we are not getting the given expression after solving this .
Hence this wrong option
Option B: \(4(2x^{5} +4x^{2} -12)\)
solving this
\(8x^{5} +16x^{2} -48\)
Since we are not getting the given expression after solving this .
Hence this wrong option
Option C: \(4x^{2}(2x^{3} + x -3)\)
Solving this
\(8x^{5} + 4x^{3} -3x^{2}\)
Since we are not getting the given expression after solving this .
Hence this wrong option
Option D : \(4(2x^{5} +x^{2} -3)\)
Solving this
\(8x^{5} + 4x^{2} -12\)
Since we are getting the given expression after solving this option
Hence Option D is correct
