Question
Expression: 6y⁴(2y²-y)
Simplified form: □
Simplified form: □
Answers
GPT-4o mini
To simplify the expression \( 6y^4(2y^2 - y) \), we can distribute \( 6y^4 \) to both terms inside the parentheses.
1. Distributing \( 6y^4 \) to \( 2y^2 \):
\[
6y^4 \cdot 2y^2 = 12y^{4+2} = 12y^6
\]
2. Distributing \( 6y^4 \) to \( -y \):
\[
6y^4 \cdot (-y) = -6y^{4+1} = -6y^5
\]
Now, we put both results together:
\[
12y^6 - 6y^5
\]
Thus, the simplified form of the expression \( 6y^4(2y^2 - y) \) is:
\[
\boxed{12y^6 - 6y^5}
\]
1. Distributing \( 6y^4 \) to \( 2y^2 \):
\[
6y^4 \cdot 2y^2 = 12y^{4+2} = 12y^6
\]
2. Distributing \( 6y^4 \) to \( -y \):
\[
6y^4 \cdot (-y) = -6y^{4+1} = -6y^5
\]
Now, we put both results together:
\[
12y^6 - 6y^5
\]
Thus, the simplified form of the expression \( 6y^4(2y^2 - y) \) is:
\[
\boxed{12y^6 - 6y^5}
\]