Find (5x²+3x) - (-10x+7)

Answer 1

To solve the expression \((5x^2 + 3x) - (-10x + 7)\), we first need to distribute the negative sign across the second set of parentheses:

\[ (5x^2 + 3x) - (-10x + 7) = (5x^2 + 3x) + (10x - 7) \]

Now, we can combine like terms:

1. For the \(x^2\) terms, we have \(5x^2\).
2. For the \(x\) terms: \(3x + 10x = 13x\).
3. For the constant terms: \(-7\).

Putting it all together, we have:

\[ 5x^2 + 13x - 7 \]

Thus, the simplified expression is:

\[ \boxed{5x^2 + 13x - 7} \]