High School

Choose the correct simplification of \((5x - 6)(2x^2 - 3x - 6)\).

A. \(10x^3 - 27x^2 - 12x + 36\)

B. \(10x^3 + 27x^2 + 12x + 36\)

C. \(10x^3 + 27x^2 - 12x + 36\)

D. \(10x^3 - 27x^2 + 12x + 36\)

Answer :

[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:

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