Answer:
5x + 3x = 8x
7x² - 5x² = 2x²
2xy + 4xy = 6xy
8y - 3y = 5y
Step-by-step explanation:
When terms in an expression involve the same variable, they are considered 'like terms'. By combining like terms, we add or subtract the coefficients (the numbers in front of the variable), while keeping the variable unchanged.
For example, in the expression 5x + 3x, both terms involve the variable x. The coefficient of x in the first term 5x is 5, and in the second term 3x is 3. Adding these coefficients together gives us 5 + 3 = 8. Since both terms involve the same variable x, the variable remains unchanged. So, after adding the coefficients, we keep the variable x attached. Therefore, the sum of 5x and 3x is 5x + 3x = 8x.
Applying this to the other given expressions, we get:
7x² - 5x² = 2x²
2xy + 4xy = 6xy
8y - 3y = 5y