Understanding Perfect Square Trinomials

The video tutorial explains the concept of 'twins' in algebra, where an expression like (x-4)^2 is expanded using the FOIL method. The instructor highlights common mistakes, such as forgetting the middle terms, and demonstrates the correct expansion process to arrive at the final solution: x^2 - 8x + 16.

What does the term 'twins' refer to in the context of algebraic expressions?

• Two different expressions

• Two expressions with different coefficients

• Two identical expressions

• Two expressions with different variables

What is a common mistake people make when expanding (x - 4)^2?

• Forgetting to multiply the terms

• Forgetting the middle term

• Forgetting to square the last term

• Forgetting to square the first term

Which method is used to correctly expand (x - 4)^2?

• Graphing method

• Substitution method

• Distributive method

• FOIL method

What is the middle term in the expansion of (x - 4)^2?

• 8x

• -4x

• 4x

• -8x

What is the final expanded form of (x - 4)^2?

• x^2 - 8x + 16

• x^2 - 16

• x^2 + 8x + 16

• x^2 + 16