Question

Combine like terms: 3y² - 6y² - 4y² + x - 2 - 6 = _____

A) -7y² + x - 8
B) -10y² + x - 8
C) -4y² + x - 8
D) 3y² + x - 8

Answer 1

you have 3 naira representing 3y².

you are owing someone 6 naira representing-6y².

you borrow another 4 naira representing -4y².

3y²-6y²-4y²=-7y².

-7y²+x=-7y²+x .

you are owing someone 2 naira

also owing 6 naira

= -8naira.

A) -7y²+x-8

Answer 2

To combine like terms in the given expression, you group and add or subtract the coefficients of the same variable terms. The combination of y² terms yields -7y² and the constants combine to -8. The simplified expression is -7y² + x - 8, so the correct answer is A) -7y² + x - 8.

Step-by-step explanation:

To combine like terms in the expression 3y² - 6y² - 4y² + x - 2 - 6, you simply add or subtract the coefficients (numbers in front) of terms that have the exact same variables raised to the same power. So, for the terms involving y², we have:

• 3y²
• -6y²
• -4y²

Combining these gives us:

3y² - 6y² - 4y² = (3 - 6 - 4)y² = -7y²

For the constants -2 and -6, we combine them in the same way:

-2 - 6 = -8

So, the expression simplifies to:

-7y² + x - 8

Therefore, the correct answer is A) -7y² + x - 8.