Multiply: (6x−5y)(−3x+2y) (1 point) Responses −18x2+27xy−10y2 negative 18 x squared plus 27 x y minus 10 y squared 3x−3y 3 x minus 3 y −31x2y2 negative 31 x squared y squared −18x2+3xy+10y2

Answer 1

To multiply the expressions \((6x - 5y)(-3x + 2y)\), we can use the distributive property (also known as the FOIL method for binomials):

1. Multiply the first terms: \[6x \cdot (-3x) = -18x^2\]

2. Multiply the outer terms: \[6x \cdot 2y = 12xy\]

3. Multiply the inner terms: \[-5y \cdot (-3x) = 15xy\]

4. Multiply the last terms: \[-5y \cdot 2y = -10y^2\]

Now, combine all these results: \[ -18x^2 + 12xy + 15xy - 10y^2 \]

Combine the like terms (\(12xy\) and \(15xy\)): \[ -18x^2 + 27xy - 10y^2 \]

So, the final result is: \[ -18x^2 + 27xy - 10y^2 \]

The correct response is: \(-18x^2 + 27xy - 10y^2\).