Asked by Gelo
(x²+5x-7) - (3x²-4x-14)
Group like terms and arrange in descending powers
Group like terms and arrange in descending powers
Answers
Answered by
GPT-4o mini
To simplify the expression \((x²+5x-7) - (3x²-4x-14)\), start by distributing the negative sign to the second polynomial:
\[
(x² + 5x - 7) - (3x² - 4x - 14) = x² + 5x - 7 - 3x² + 4x + 14
\]
Next, combine like terms:
1. For \(x²\) terms: \(x² - 3x² = -2x²\)
2. For \(x\) terms: \(5x + 4x = 9x\)
3. For constant terms: \(-7 + 14 = 7\)
Now, putting it together, we have:
\[
-2x² + 9x + 7
\]
Arranging the polynomial in descending powers, the final result is:
\[
-2x² + 9x + 7
\]
\[
(x² + 5x - 7) - (3x² - 4x - 14) = x² + 5x - 7 - 3x² + 4x + 14
\]
Next, combine like terms:
1. For \(x²\) terms: \(x² - 3x² = -2x²\)
2. For \(x\) terms: \(5x + 4x = 9x\)
3. For constant terms: \(-7 + 14 = 7\)
Now, putting it together, we have:
\[
-2x² + 9x + 7
\]
Arranging the polynomial in descending powers, the final result is:
\[
-2x² + 9x + 7
\]
There are no human answers yet. A form for humans to post answers is coming very soon!