Question

Simplify the expression (2x − 9)(x + 6).

Help?

Answer 1

( 2x - 9 ) ( x + 6 )

( 2x ) ( x ) + ( 2x ) ( 6 ) + ( - 9 ) ( x ) + ( - 9 ) ( 6 )

2x² + 12x - 9x - 54

2x² + 3x - 54.

Answer 2

Answer:
`2x^2+3x-54`

Explanation:

The given expression is
`(2x-9)(x+6)`

Distributive property:

`a(b+c)=ab+ac`

or
`(b+c)a=ba+ca`

By distributive property the above expression will be written as :

`(2x-9)x+(2x-9)6\\\\(2x)x-9x+(2x)(6)-(9)(6)\\\\2x^2-9x+12x-54\\\\2x^2+(-9+12)x-54\\\\2x^2+3x-54`

Hence,
`(2x-9)(x+6)=2x^2+3x-54`