Verified Answer :

( 2x - 9 ) ( x + 6 )

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

2x² + 12x - 9x - 54

2x² + 3x - 54.

JeanaShupp

Answer: \(2x^2+3x-54\)

Step-by-step 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, \((2x-9)(x+6)=2x^2+3x-54\)

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