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: $-18x^2+27xy-10y^2$.