Question

Multiply: (6x 5y) (-3x+2y) (1 point)
-
-18x²+27xy + 10y²
-18x²+27xy - 10y²
3x-3y
O-31x2 y2

Answer 1

To multiply the expression \((6x + 5y)(-3x + 2y)\), we can apply the distributive property (also known as the FOIL method for binomials). Let's proceed step by step:

1. **Distribute \(6x\)**:
- \(6x \cdot (-3x) = -18x^2\)
- \(6x \cdot 2y = 12xy\)

2. **Distribute \(5y\)**:
- \(5y \cdot (-3x) = -15xy\)
- \(5y \cdot 2y = 10y^2\)

Now, we combine all these products:

\[
-18x^2 + 12xy - 15xy + 10y^2
\]

Next, combine like terms:

\[
-18x^2 + (12xy - 15xy) + 10y^2 = -18x^2 - 3xy + 10y^2
\]

So, the final expression is:

\[
-18x^2 - 3xy + 10y^2
\]

It appears that none of the choices you provided exactly match this result, but it seems I may have misaligned my expectation with your original query.

However, based on the calculations, the correct answer should be:

\(-18x^2 - 3xy + 10y^2\)

If the choices should have included this, you could check them again. If we had made a mistake earlier in reading your options, please clarify or check.