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:

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