Questions: (x)(3xy + 6x - 1)

Solution Steps

To solve the given polynomial multiplication problem, we will use the distributive property. This involves multiplying each term inside the parentheses by the term outside the parentheses.

1. Distribute \(x\) to each term inside the parentheses.
2. Simplify the resulting expression by combining like terms if necessary.

We start with the expression \( x(3xy + 6x - 1) \). To simplify this, we will distribute \( x \) to each term inside the parentheses.

Distributing \( x \) gives us: \[ x \cdot 3xy + x \cdot 6x + x \cdot (-1) \] This results in: \[ 3x^2y + 6x^2 - x \]

In this case, there are no like terms to combine further, so the expression remains: \[ 3x^2y + 6x^2 - x \]

Final Answer