Question
10x^3y^2 - 2xy^2 + 14xy
Answers
GPT-4o mini
To simplify the expression \(10x^3y^2 - 2xy^2 + 14xy\), we can look for common factors in the terms.
1. The first term is \(10x^3y^2\).
2. The second term is \(-2xy^2\).
3. The third term is \(14xy\).
We can factor out the common term, which is \(2xy\):
\[
10x^3y^2 - 2xy^2 + 14xy = 2xy(5x^2 - y + 7)
\]
Thus, the factored form of the expression is:
\[
2xy(5x^2 - y + 7)
\]
1. The first term is \(10x^3y^2\).
2. The second term is \(-2xy^2\).
3. The third term is \(14xy\).
We can factor out the common term, which is \(2xy\):
\[
10x^3y^2 - 2xy^2 + 14xy = 2xy(5x^2 - y + 7)
\]
Thus, the factored form of the expression is:
\[
2xy(5x^2 - y + 7)
\]