Combining Like Terms and Binomials

The video tutorial explains how to simplify a given expression by following the order of operations. It begins with squaring binomials and finding their products. The tutorial then demonstrates how to combine like terms and distribute to simplify the expression further. The final step involves combining all terms to arrive at the simplified expression.

What is the first step in simplifying the given expression?

• Multiply the coefficients

• Square the binomials

• Add the constants

• Combine like terms

How many products are formed when squaring the binomial (x - 3)?

• Five

• Three

• Four

• Two

Why are brackets used when finding the product of binomials?

• To divide the terms

• To organize the terms

• To subtract the terms

• To add the terms

What is the result of combining the like terms -3x and -3x?

• -6x

• 0

• -9x

• 3x

What operation is performed after combining like terms in the expression?

• Multiplication

• Subtraction

• Division

• Addition

What is the result of distributing a -1 across the polynomial?

• It adds the terms

• It changes the sign of each term

• It multiplies the terms

• It divides the terms

What happens to the x squared terms when they are combined?

• They cancel each other out

• They remain unchanged

• They add up to 2x squared

• They multiply to x to the fourth

What is the simplified form of the x terms after combining -6x and 16x?

• 10x

• -10x

• 22x

• 0

What is the final constant term in the simplified expression?

• -55

• -64

• 64

• 9

What is the final simplified expression?

• 0

• 10x - 55

• x squared + 10x - 55

• x squared - 6x + 9