Simplify (12a^{5}-6a-10a^{3})-(10a-2a^{5}-14a^{4})(12a 5 −6a−10a 3 )−(10a−2a 5 −14a 4 ) . Write the answer in standard form

Respuesta :

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]