Question

Choose the correct simplification of (5x − 6)(3x2 − 4x − 3).

Answer 1

(15x^3 -38x^2 +9x+ 18) 

Answer 2

Answer:
`15x^3-38x^2+9x+18`

Explanation:

Given expression :
`(5x-6)(3x^2- 4x-3)`

Using distributive property,

`a(b+c)=ab+ac\\\\or\ (b+c)a=ba+ca`

Thus,
`(5x-6)(3x^2- 4x-3)\\\\=(5x-6)3x^2-(5x-6)4x-(5x-6)3\\\\=5x(3x^2)-6(3x^2)-5x(4x)- (-6)(4x)-5x(3)-(-6)(3)\\\\=15x^3-18x^2-20x^2+24x-15x+18`

Combining like terms we get

`15x^3-18x^2-20x^2+24x-15x+18\\\\=15x^3-38x^2+9x+18`