what expression is equivalent to 3x^2+(5x-7x^2)+8-(4x+5)

Answer 1

To simplify the expression \(3x^2 + (5x - 7x^2) + 8 - (4x + 5)\), we will start by removing the parentheses and combining like terms.

1. Distribute and simplify: \[ 3x^2 + 5x - 7x^2 + 8 - 4x - 5 \]

2. Combine the like terms:

   • For the \(x^2\) terms: \(3x^2 - 7x^2 = -4x^2\)
   • For the \(x\) terms: \(5x - 4x = 1x\) (or just \(x\))
   • For the constant terms: \(8 - 5 = 3\)

3. Now combine all the simplified parts: \[ -4x^2 + x + 3 \]

So, the expression equivalent to \(3x^2 + (5x - 7x^2) + 8 - (4x + 5)\) is: \[ -4x^2 + x + 3 \]