Answer:
\(2x^2-8x-24\)
Step-by-step explanation:
Given the expression:
\((2x+4)(x-6)\)
Determine the product (multiplication).
To obtain the product, the FOIL method can be used.
Where:
F = first
O = outside
I = inside
L = last
Solve:
\((2x+4)(x-6) \\\)
First:
\(2x(x)=2x^2\)
Outside:
\(2x(-6)=-12x\)
Inside:
\(4(x)=4x\)
Last:
\(4(-6)=-24\)
Now, combine like terms.
\(2x^2-12x+4x-24\\2x^2-8x-24\)
Thus, the product of the expression is:
\(2x^2-8x-24\)
