Like Terms
These types of terms have the same variable(s) raised to the same power, allowing them to be combined through addition or subtraction.
What are Like Terms
When adding polynomials, you combine only these types of terms.
What are Like terms.
Subtracting polynomials requires you to do this with the signs of the second polynomial before combining like terms.
What is distribute the negative (or change the signs)?
This exponent rule says to add the exponents together when the base is the same.
What is the power of a product rule.
Subtracting exponents from powers of the same base.
What is the power of quotient rule.
The terms 3x² and -5x² are like terms, but 4x² and 2x are not, because of this key difference.
What is the exponent on the variable.
The sum of (3x + 4) and (5x - 2) is this.
What is 8x +2
Simplify: (5x + 3) - (2x + 1)
What is 3x + 2?
When multiplying 3x(2x - 7), this is the correct result.
What is 6x² - 21x?
The simplified result of (15x³ + 10x²) ÷ 5.
What is 3x³ + 2x²?
When simplifying 2y + 5y - 3y, the result is this.
4y
Add (2x² + 3x - 5) and (x² - 4x + 7) to get this result.
What is 3x² - x + 2?
Find the result of: (x² + 4x - 7) - (2x² - 3x + 5)
What is -x² + 7x - 12?
The product of -4x(3x² + x - 2) simplifies to this expression.
What is -12x³ - 4x² + 8x?
The simplified form of (8x⁵) ÷ (2x²).
What is 4x³?
True or False: The terms 7abc and -2acb are like terms.
What is True
If the revenue from one product is (4x² + 2x + 5) and another product generates (3x² - x + 6), the total revenue is this polynomial.
What is 7x² + x + 11?
(-3x² + 2x - 4) from (5x² - x + 6)
What is 8x² - 3x + 10?
The simplified product of (1/2)x(4x² - 6x + 8).
What is 2x³ - 3x² + 4x?
The result of (18x² + 12x - 6) ÷ 6.
What is 3x² + 2x - 1?
In the expression 6x³y - 2x²y + 4yx³ - 3x²y, combining like terms results in this simplified expression.
What is 10x³y - 5x²y?
The sum of (5x³ - 2x² + 7x - 4) and (-3x³ + 6x² - 9x + 10) simplifies to this expression.
What is 2x³ + 4x² - 2x + 6?
(4x³ - 2x² + x - 8) - (3x³ + x² - 4x + 5)
What is x³ - 3x² + 5x - 13?
The result of multiplying -2x²(5x³ - 3x + 7).
What is -10x⁵ + 6x³ - 14x²?
The quotient of (21x⁶ - 14x³ + 7x) ÷ 7x.
What is 3x⁵ - 2x² + 1?