simplify (2x + 3)(x - 4) =
Use FOIL method to multiply (First, Outer, Inner, Last):
2x^2 - 8x + 3x - 12
Combine like terms:
2x^2 - 5x - 12
And there you have it!
(2x + 3)(x - 4) =
2x + 3 + 1x - 4 =
2x + 1x + 3 -4=
3x - 1
To simplify the expression (2x + 3)(x - 4), we can use the distribution property, which states that when we multiply a factor by a sum of terms, we distribute the factor to each term within the parentheses.
Following this property, we multiply each term from the first set of parentheses (2x + 3) with each term from the second set of parentheses (x - 4):
(2x + 3)(x - 4) = 2x(x) + 2x(-4) + 3(x) + 3(-4)
Simplifying further, we have:
= 2x^2 - 8x + 3x - 12
Combining like terms, we can simplify it to:
= 2x^2 - 5x - 12
Thus, the simplified form of (2x + 3)(x - 4) is 2x^2 - 5x - 12.