Answer:
D. [tex](9x-10)(9x+10)[/tex]
Step-by-step explanation:
We need to factor the given expression [tex]81x^2-100[/tex]
[tex]81x^2-100[/tex]
[tex]=9^2x^2-10^2[/tex]
Apply formula [tex]a^x*b^x=(a*b)^x[/tex]
[tex]=(9x)^2-10^2[/tex]
Apply formula [tex]a^2-b^2=(a+b)(a-b)[/tex]
[tex]=(9x+10)(9x-10)[/tex]
[tex]=(9x-10)(9x+10)[/tex]
Hence final answer is choice D. [tex](9x-10)(9x+10)[/tex]
