(3x + 4)(x - 2)
explain
To multiply these two expressions, you need to use the distributive property. This means that you need to multiply each term in the first expression by each term in the second expression, and then add the results.
So, you start by multiplying 3x by x, which gives you 3x^2. Then, you multiply 3x by -2, which gives you -6x. Next, you multiply 4 by x, which gives you 4x. Finally, you multiply 4 by -2, which gives you -8.
Now, you add up all of these results to get the final answer:
3x^2 - 6x + 4x - 8
Simplifying this expression by combining like terms, you get:
3x^2 - 2x - 8
Therefore, (3x + 4)(x - 2) simplifies to 3x^2 - 2x - 8.
To expand the expression (3x + 4)(x - 2), we can use the distributive property. This property states that for any three real numbers a, b, and c, the expression a(b + c) can be rewritten as ab + ac.
In this case, we have two terms: (3x + 4) and (x - 2). Let's multiply each term of the first expression by each term of the second expression.
First, we multiply the first term of the first expression (3x) by each term of the second expression:
3x * x = 3x^2
3x * -2 = -6x
Next, we multiply the second term of the first expression (4) by each term of the second expression:
4 * x = 4x
4 * -2 = -8
Now, we can combine all the terms we obtained:
(3x^2 - 6x) + (4x - 8)
Simplifying the expression, we have:
3x^2 - 6x + 4x - 8
Finally, we can combine the like terms:
3x^2 - 2x - 8
So, the expanded form of (3x + 4)(x - 2) is 3x^2 - 2x - 8.