How to solve (2x + 2) * (3x - 4)
To solve the expression (2x + 2) * (3x - 4), you can use the distributive property of multiplication, which states that:
a * (b + c) = a * b + a * c
Using this property, we can expand the expression as follows:
(2x + 2) * (3x - 4) = 2x * (3x - 4) + 2 * (3x - 4)
Now, we can simplify each term separately:
2x * (3x - 4) = 6x^2 - 8x
2 * (3x - 4) = 6x - 8
Putting it all together, we get:
(2x + 2) * (3x - 4) = 6x^2 - 8x + 6x - 8
Simplifying further, we get:
(2x + 2) * (3x - 4) = 6x^2 - 2x - 8
Therefore, the solution to the expression (2x + 2) * (3x - 4) is 6x^2 - 2x - 8.
To solve the expression (2x + 2) * (3x - 4), we need to simplify it by using the distributive property of multiplication over addition. The distributive property states that when you multiply a number by a sum or difference, you can multiply each term inside the parentheses separately.
Let's break down the steps to solve the expression:
Step 1: Multiply the first term of the first factor (2x) with each term of the second factor (3x and -4):
2x * 3x = 6x^2
2x * -4 = -8x
Step 2: Multiply the second term of the first factor (2) with each term of the second factor (3x and -4):
2 * 3x = 6x
2 * -4 = -8
Step 3: Combine the like terms obtained from the previous steps:
(6x^2 - 8x) + (6x - 8)
Step 4: Simplify the expression further by combining like terms. In this case, we have two sets of like terms: the terms with x^2 and the terms with just x:
6x^2 - 8x + 6x - 8
Step 5: Combine the like terms to obtain the final simplified expression:
6x^2 - 2x - 8
Therefore, the solution to the expression (2x + 2) * (3x - 4) is 6x^2 - 2x - 8.
To solve the expression (2x + 2) * (3x - 4), follow these steps:
Step 1: Expand the expression
To expand the expression, you'll multiply each term in the first set of parentheses by each term in the second set of parentheses. Here's how it looks:
(2x + 2) * (3x - 4)
= 2x * 3x + 2 * 3x + 2x * -4 + 2 * -4
= 6x^2 + 6x - 8x - 8
= 6x^2 - 2x - 8
So, the expanded form of the expression is 6x^2 - 2x - 8.
Step 2: Simplify (if needed)
If you want to simplify the expression further, you'll need to check if there are any like terms that can be combined. In this case, there are no like terms that can be combined since there are no coefficients or variables that are the same.
Therefore, the final simplified form of the expression is 6x^2 - 2x - 8.