To simplify the given expression [tex]\(9(2x + 3y - 1)\)[/tex] using the distributive property, follow these steps:
1. Identify and distribute the constant: We need to distribute the 9 to every term inside the parentheses.
2. Multiply 9 by each term inside the parentheses:
- First term: [tex]\(9 \times 2x = 18x\)[/tex]
- Second term: [tex]\(9 \times 3y = 27y\)[/tex]
- Third term: [tex]\(9 \times -1 = -9\)[/tex]
3. Combine the results: Once we distribute the 9 to each term, we combine the simplified terms to form the final expression.
Therefore, the simplified form of the expression using the distributive property is:
[tex]\[
9(2x + 3y - 1) = 18x + 27y - 9
\][/tex]
So the equation [tex]\(9(2x + 3y - 1) = [\ ?\ ] x + [\ ?\ ] y + \ ?\ \)[/tex] simplifies to [tex]\( 18x + 27y - 9 \)[/tex].
