Question

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

8x^2 + 36xy − 36y^2
−8x^2 − 36xy + 36y^2
−8x^2 + 36xy − 36y^2
−8x^2 + 12xy − 36y^2

Answer 1

`-8x^2 +36xy - 36y^2`

Explanation:

(−2x + 6y)(4x − 6y)

To multiply this we use FOIL method

first we multiply -2x with 4x, it becomes -8x^2

Then multiply -2x with -6y, we get 12xy

multiply 6y with 4x, we get 24xy

multiply +6y with -6y, we get -36y^2

Now we commbine all the answers we got

`-8x^2 +12xy+24xy - 36y^2`

combien like terms

12xy+24xy= 36xy

`-8x^2 +36xy - 36y^2`