simplify (2x+3)(x-4)=
HELP !!
assistance needed
2x (x-4) =2 x^2 - 8 x
3 (x-4) = 3 x -12
--------------------now add
To simplify the expression (2x+3)(x-4), you can use the distributive property of multiplication. The distributive property states that for any three numbers a, b, and c, the product of a and the sum of b and c is equal to the sum of the products of a and b and a and c.
In this case, we have (2x+3)(x-4). We need to distribute the 2x and 3 to each term inside the second parenthesis, x and -4:
Step 1: Distribute 2x to each term inside the second parenthesis:
2x * x = 2x^2
2x * -4 = -8x
Step 2: Distribute 3 to each term inside the second parenthesis:
3 * x = 3x
3 * -4 = -12
Now, we can combine the like terms:
2x^2 + 3x - 8x - 12
Simplifying further:
2x^2 - 5x - 12
Therefore, the simplified form of (2x+3)(x-4) is 2x^2 - 5x - 12.