Choose the correct simplification of (5x − 6)(2x2 − 3x − 6).

A. 10x3 − 27x2 − 12x + 36
B.10x3 + 27x2 + 12x + 36
C.10x3 + 27x2 − 12x + 36
D. 10x3 − 27x2 + 12x + 36

Respuesta :

[tex](5x - 6)(2x^2 -3x - 6)[/tex]

Use FOIL to help expand the expressions

First
Outer
Inner
Last

When we foil out the expression we get: 

[tex]5x*2x^2+(5x)(-3x)+(5x)(-6)+(-6)(2x^2)+(-6)(-3x)+(-6)(-6)[/tex]

Now start multiplying the expression to get: 
[tex]10x^3-15x^2-30x-12x^2+18x+36[/tex]

Combine like terms; Final answer: 
[tex]10x^3-27x^2-12x+36[/tex]

so A 

Answer:

A is your answer

Step-by-step explanation: