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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

01

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)2-12.

This is in the form of localid="1647517093435" A2-B2

We know the identityA2鈭�B2=(A+B)(A鈭�B)A2-B2=(A+B)(A-B)

02

Step 2. Expand the equation using identity

(x鈭�1)2鈭�12=(x鈭�1+1)(x鈭�1鈭�1)=x(x-2)

Therefore, this equation is an example of identity.

Hence, the given statement is true.

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