Find and correct the errors in the statement. (y - 3)² = y² - 9

Solution:

An equation is a mathematical statement with an 'equal to' symbol between two algebraic expressions that have equal values.

Given,

4(x - 5) = 4x - 5

Solving LHS we get,

(y - 3)²

= (y)² - 2(y)(3) + (3)² [Using identity (a - b)² = a² - 2ab + b²]

= y² - 6 y + 9

But, RHS = y² - 9

Thus, L.H.S ≠ R.H.S

The correct statement is (y - 3)² = y² - 6 y + 9

☛ Check: NCERT Solutions for Class 8 Maths Chapter 14

Video Solution:

Find and correct the errors in the statement. (y - 3)² = y² - 9

Class 8 Maths NCERT Solutions Chapter 14 Exercise 14.4 Question 11

Summary:

Find and correct the errors in the statement: (y - 3)² = y² - 9. The correct statement is (y - 3)² = y² - 6 y + 9.

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