How to use the difference of two squares to factor

How to use the difference of two squares to factor

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains the concept of the difference of two squares, comparing it to the difference and sum of cubes. It introduces the factoring formula a^2 - b^2 = (a - b)(a + b) and explains why the middle terms cancel out, eliminating the need for the FOIL method. The tutorial guides viewers on identifying the values of A and B in the formula and demonstrates how to apply the formula to solve problems involving the difference of squares.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the difference of two squares often compared to in algebra?

Sum of two cubes

Sum of two squares

Difference of two cubes

Product of two squares

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why don't we need to use the FOIL method when factoring the difference of two squares?

The terms are already simplified

The middle terms cancel out

It only involves addition

It is a linear equation

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the formula for the difference of two squares?

(a - b)(b - a)

(a + b)(a + b)

(a - b)(a - b)

(a + b)(a - b)

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the problem discussed, what is the value of 'A' when solving the difference of squares?

a - b

a + b

T

b

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final expression obtained after applying the difference of squares formula in the example?

(a - b) + t

(a - b) * (a - b)

(a - b) * (a + b)

(a - b) - t