Answer:
[tex](12a^{5}-6a-10a^{3})-(10a-2a^{5}-14a^{4}) = 14a^{5}+14a^{4}-10a^{3}-16a[/tex]
Step-by-step explanation:
Given
[tex](12a^{5}-6a-10a^{3})-(10a-2a^{5}-14a^{4})[/tex]
Required
Simplify
We have:
[tex](12a^{5}-6a-10a^{3})-(10a-2a^{5}-14a^{4})[/tex]
Open brackets
[tex]12a^{5}-6a-10a^{3}-10a+2a^{5}+14a^{4}[/tex]
Collect like terms
[tex]12a^{5}+2a^{5}+14a^{4}-10a^{3}-6a-10a[/tex]
[tex]14a^{5}+14a^{4}-10a^{3}-16a[/tex]
Hence:
[tex](12a^{5}-6a-10a^{3})-(10a-2a^{5}-14a^{4}) = 14a^{5}+14a^{4}-10a^{3}-16a[/tex]