Difference of Squares Problems

In this video tutorial, the teacher guides students through solving three math problems using the difference of squares formula. The narrative follows a character, Fox Cat, who participates in a company event where solving these problems can win prizes. The tutorial emphasizes the importance of using mathematical formulas for efficient problem-solving, contrasting it with a brute force approach. Despite some setbacks, the tutorial concludes with a lesson on the value of strategic thinking in mathematics.

What is the result of 95 multiplied by 105 minus 100 squared?

• -25

• 50

• 0

• 25

Which formula is used to simplify the expression (100-5)(100+5)?

• Sum of squares

• Binomial theorem

• Quadratic formula

• Difference of squares

What is the value of 153 times 147 minus 150 squared?

• -9

• 150

• 9

• 0

How can 153 times 147 be expressed using the difference of squares formula?

• (150+3)(150-3)

• (150+3)(150+3)

• (150-3)(150-3)

• (150+5)(150-5)

What is the result of 49 times 51 using the difference of squares formula?

• 2500 - 1

• 2500 + 1

• 2500 - 25

• 2500 + 25

What is the simplified result of 45 times 55 using the difference of squares formula?

• 2500 - 25

• 2500 + 25

• 2500 - 1

• 2500 + 1

What is the final result of the expression 30/31 squared minus 30/1?

• 30

• 31

• 32

• 33

How can the expression 31 squared minus 1 squared be rewritten using the difference of squares formula?

• (31+1)(31+1)

• (31+2)(31-2)

• (31+1)(31-1)

• (31-1)(31-1)

What mistake did the character make in solving the third problem initially?

• Miscalculated the square

• Used a brute force method

• Used the wrong formula

• Ignored the difference of squares

What is the correct approach to solve 30/31 squared minus 30/1 using the difference of squares?

• Approximate the values

• Rewrite as (31+1)(31-1)

• Calculate directly

• Use a calculator