Question

(01.06 LC) Choose the correct simplification of the expression (−2x + 10y)(4x − 6y).

a −8x2 − 52xy + 60y2
b −8x2 + 52xy − 60y2
c 8x2 + 52xy − 60y2
d −8x2 + 28xy − 60y2

Answer 1

Its b

Explanation:

(−2x + 10y)(4x − 6y)

= -8x^2 + 12xy + 40xy - 60y^2

= -8x^2 + 52xy - 60y^2

Answer 2

`-8x^(2) + 52xy - 60y^(2)`

Explanation:

(−2x + 10y)(4x − 6y).

To simplify this expression, multiply each term inside the brackets with rest of terms in the other bracket like shown below:

`(-2x × 4x) + (-2x × -6y)` +
`(10y × 4x) + (10y × -6y)`

This will give:
`-8 x^(2) + 12xy + 40xy - 60y^(2)`

Arrange the like items together and add them to get:

`-8x^(2) + 52xy - 60y^(2)`