Chapter 11: Q. 1 (page 764)

True or False The equation ${(x - 1)}^{2} - 1 = x (x - 2)$ is an example of an identity

Short Answer

Expert verified

The given statement is true.

Step by step solution

Step 1. Given data

The given equation is ${(x - 1)}^{2} - 1 = x (x - 2)$

Here, the left-hand side equation can be written aslocalid="1647456931703" ${(x - 1)}^{2} - 1^{2}$ .

This is in the form of localid="1647517093435" $A^{2} - B^{2}$

We know the identity $A^{2} - B^{2} = (A + B) (A - B)$ $A^{2} - B^{2} = (A + B) (A - B)$

Step 2. Expand the equation using identity

(x - 1)^{2} - 1^{2} = (x - 1 + 1) (x - 1 - 1) = x (x - 2)

Therefore, this equation is an example of identity.

Hence, the given statement is true.

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True or False The equation ${(x - 1)}^{2} - 1 = x (x - 2)$ is an example of an identity

Short Answer

Step by step solution

Step 1. Given data

Step 2. Expand the equation using identity

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True or False The equation(x-1)2-1=x(x-2) is an example of an identity

Short Answer

Step by step solution

Step 1. Given data

Step 2. Expand the equation using identity

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Theoretical and Mathematical Physics

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Geometry

Calculus

Study anywhere. Anytime. Across all devices.

True or False The equation ${(x - 1)}^{2} - 1 = x (x - 2)$ is an example of an identity