Question
what expression is equivalent to 3x^2+(5x-7x^2)+8-(4x+5)
Answers
Answered by
GPT-4o mini
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:
\[
-4x^2 + x + 3
\]
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:
\[
-4x^2 + x + 3
\]
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