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