Question

simplify each expression. write the answer in standard form. see examples 2 and 3

1. $3x + 2x^2 - 4x + 3x^2 - 5x$

Explanation:

Step1: Group like terms

Group the \(x^2\) terms and the \(x\) terms together: \((2x^2 + 3x^2)+(3x - 4x - 5x)\)

Step2: Combine like terms

For the \(x^2\) terms: \(2x^2+3x^2 = 5x^2\)
For the \(x\) terms: \(3x - 4x - 5x=(3 - 4 - 5)x=-6x\)

Step3: Write the simplified expression

Combine the results from Step 2: \(5x^2-6x\)

Answer:

\(5x^2 - 6x\)