Hello I'd like to know what7 {x}^(2) - 5x + 3minus(2 {x}^(2) + 7x - 4)equals to

Question

hello I'd like to know what
`7 {x}^(2) - 5x + 3`minus
`(2 {x}^(2) + 7x - 4)`equals to

Answer 1

`7x^2-5x+3\text{ minus }(2x^2+7x-4)\text{ can be translated algebraically as}`
`7x^2-5x+3-(2x^2+7x-4)`

Distribute the negative to the second trinomial and simplify by adding like terms. We get the following:

`\begin{gathered} 7x^(2)-5x+3-(2x^(2)+7x-4) \\ =7x^2-5x+3-2x^2-7x+4 \\ =7x^2-2x^2-5x-7x+3+4 \\ =5x^2-12x+7 \\ \\ \text{Therefore,} \\ 7x^2-5x+3-(2x^2+7x-4)=5x^2-12x+7 \end{gathered}`