Question

Subtract a4 + 40²62 — 264 from –3a4 + 5a62 +264.

Answer 1

Note: Although your statement sounds a little ambiguous, but I am assuming that you want to subtract
`a^4\:+\:40^2\:\cdot 62-\:264` from
`-3a^4\:+\:5a^(62)\:+264`. Anyways, even if you may have a slightly different expressions, but the procedure remains the same. So it would anyways help you understand the concept.

Answer:

`-3a^4+5a^(62)+264-\left(a^4+40^2\cdot \:62-264\right)=5a^(62)-4a^4-98672`

Explanation:

Given the expression

`a^4\:+\:40^2\:\cdot 62-\:264`

which have to be subtracted from
`-3a^4\:+\:5a^(62)\:+264`

so

`-3a^4+5a^(62)+264-\left(a^4+40^2\cdot \:62-264\right)`

`=-3a^4+5a^(62)+264-\left(a^4+98936\right)` ∵
`-\left(a^4+40^2\cdot \:62-264\right)=-\left(a^4+98936\right)`

`=-3a^4+5a^(62)+264-a^4-98936`

`\mathrm{Group\:like\:terms}`

`=5a^(62)-3a^4-a^4+264-98936`

`\mathrm{Add\:similar\:elements:}\:-3a^4-a^4=-4a^4`

`=5a^(62)-4a^4+264-98936`

`=5a^(62)-4a^4-98672`

Therefore,

`-3a^4+5a^(62)+264-\left(a^4+40^2\cdot \:62-264\right)=5a^(62)-4a^4-98672`