(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

Respuesta :

Answer:

Its  b

Step-by-step explanation:

(−2x + 10y)(4x − 6y)

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

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

Answer:

[tex]-8x^{2} + 52xy - 60y^{2}[/tex]

Step-by-step 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:

[tex](-2x × 4x) + (-2x × -6y)[/tex] + [tex](10y × 4x) + (10y × -6y)[/tex]

This will give:[tex]-8 x^{2} + 12xy + 40xy - 60y^{2}[/tex]

Arrange the like items together and add them to get:

[tex]-8x^{2} + 52xy - 60y^{2}[/tex]