GCSE Maths - What is Difference of Two Squares (DOTS) #39

The video tutorial introduces the difference of two squares technique for factorizing expressions. It explains that this method applies to expressions of the form A^2 - B^2 and demonstrates how to factorize them into (A + B)(A - B). The tutorial provides several examples, including X^2 - 25, 49 - P^2, 16X^2 - 9Y^2, 36 - 4X^2, and P^2 - 25Q^2, showing step-by-step how to identify the squared terms and apply the technique. The video concludes by verifying the factorization through expansion, ensuring the method's correctness.

What is the difference of two squares technique used for?

• Solving quadratic equations

• Factorizing expressions of the form a^2 - b^2

• Calculating derivatives

• Simplifying fractions

How would you factorize the expression X^2 - 25?

• (X + 5)(X - 5)

• (X + 10)(X - 10)

• (X + 25)(X - 25)

• (X + 2)(X - 2)

In the expression 49 - P^2, what are the terms being squared?

• 7 and P

• 49 and P^2

• 49 and P

• 7 and P^2

What is the factorized form of 16X^2 - 9Y^2?

• (16X + 3Y)(16X - 3Y)

• (4X + 3Y)(4X - 3Y)

• (16X + 9Y)(16X - 9Y)

• (4X + 9Y)(4X - 9Y)

How do you factorize 36 - 4X^2?

• (6 + 2X)(6 - 2X)

• (36 + 4X)(36 - 4X)

• (18 + 2X)(18 - 2X)

• (6 + X)(6 - X)

What is the factorized form of 9X^2 - 64?

• (3X + 8)(3X - 8)

• (9X + 64)(9X - 64)

• (3X + 4)(3X - 4)

• (9X + 8)(9X - 8)

When expanding the brackets of P^2 - 25Q^2, which terms cancel out?

• 5Q and -5Q

• P and Q

• -5PQ and 5PQ

• P^2 and 25Q^2