Question

Choose the correct simplification of the expression (−2x + 6y)(4x − 6y).

Answer 1

@thearcane

Answer 2

well use foil first.

(-2x + 6y)(4x - 6y)

means

-2x* 4x
-2x * -6y
6y * 4x
6y * -6y

what do each of those equal?

Answer 3

-2x * 4x = -8x
-2x * -6y = 12x
6y *4x = 24x
6y *-6y = 36y

Answer 4

remember when you multiply 2 x's...you get x * x...which is x²

Answer 5

when you multiply an x and a y...you just bring both terms over...since they cannot be combined

Answer 6

ok

Answer 7

so

-2x * 4x = -8x²
-2x * -6y = 12xy
6y *4x = 24xy
6y *-6y = -36y²

right?

Answer 8

so if we have those as our answers....

-8x² + 12xy + 24xy -36y²

what can be combined here?
can x² be combined with xy? No...only another x²
can xy be combined with y²? No just another xy

but look...we have another xy in our equation....so those 2 can be combined.

so what is 12xy + 24xy?

Answer 9

36xy

Answer 10

@johnweldon1993

Answer 11

correct...

so alltogether

we have

-8x² + 36xy - 36y²

is that one of the choices?

Answer 12

yess :) thank you

Answer 13

anytime :) glad to help :)