Question

(−t 4 −5t 3 −10t 2 )+(9t 3 +3t 2 −1)

Answer 1

`\left(-t^4-5t^3-10t^2\right)+\left(9t^3+3t^2-1\right)=-t^4+4t^3-7t^2-1`

Explanation:

Given the expression

`\left(-t^4\:-5t^3\:-10t^2\:\right)+\left(9t^3\:+3t^2\:-1\right)`

Remove parentheses: (a)=a

`=-t^4-5t^3-10t^2+9t^3+3t^2-1`

Group like terms

`=-t^4-5t^3+9t^3-10t^2+3t^2-1`

Add similar elements

`=-t^4-5t^3+9t^3-7t^2-1` ∵
`-10t^2+3t^2=-7t^2`

Add similar elements

`=-t^4+4t^3-7t^2-1` ∵
`-5t^3+9t^3=4t^3`

Thus, the equivalent expression in simplified form:

`\left(-t^4-5t^3-10t^2\right)+\left(9t^3+3t^2-1\right)=-t^4+4t^3-7t^2-1`