Answer: [tex]2x^2+3x-54[/tex]
Step-by-step explanation:
The given expression is [tex](2x-9)(x+6)[/tex]
Distributive property:
[tex]a(b+c)=ab+ac[/tex]
or [tex](b+c)a=ba+ca[/tex]
By distributive property the above expression will be written as :
[tex](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[/tex]
Hence, [tex](2x-9)(x+6)=2x^2+3x-54[/tex]
