Question

simplify
$(5x^2 + x - 3) - 2(2x^2 - 3x + 1)$

Explanation:

Step1: Expand the expressions

First, expand the first bracket and the second term with the coefficient.
For the first part: \((5x^2 + x - 3)\) remains as it is for now.
For the second part: \( -2(2x^2 - 3x + 1) = -2\times2x^2 + (-2)\times(-3x) + (-2)\times1 = -4x^2 + 6x - 2\)

Step2: Combine like terms

Now, combine the expanded expressions:
\((5x^2 + x - 3) + (-4x^2 + 6x - 2)\)
Combine the \(x^2\) terms: \(5x^2 - 4x^2 = x^2\)
Combine the \(x\) terms: \(x + 6x = 7x\)
Combine the constant terms: \(-3 - 2 = -5\)
So, putting it all together: \(x^2 + 7x - 5\)

Answer:

\(x^2 + 7x - 5\)