Using the difference of two squares to factor a binomial

Using the difference of two squares to factor a binomial

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to factor the expression 49 - 121Y^2 by applying the difference of squares method. It begins by checking for common factors and then identifies the expression as a difference of squares. The tutorial demonstrates rewriting 49 as 7^2 and 121Y^2 as (11Y)^2, allowing the expression to be factored into (7 - 11Y)(7 + 11Y). The video concludes with a summary of the process.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in attempting to factor the expression 49 - 121Y^2?

Check for a greatest common factor (GCF)

Apply the quadratic formula

Use the sum of cubes formula

Rewrite the expression as a trinomial

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following is a perfect square?

50

47

49

48

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can 121Y^2 be expressed as a perfect square?

(13Y)^2

(11Y)^2

(12Y)^2

(10Y)^2

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What formula is used to factor the expression 49 - 121Y^2?

Sum of two squares

Difference of two squares

Difference of cubes

Sum of cubes

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the factored form of 49 - 121Y^2?

(7 - 11Y)(7 - 11Y)

(7 + 11Y)(7 + 11Y)

(7 - 11Y)(7 + 12Y)

(7 + 11Y)(7 - 11Y)