Find and correct the errors in the statement: (3x + 2)² = 3x² + 6x + 4

Solution:

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

Given,

(3x + 2)² = 3x² + 6x + 4

Solving LHS we get,

(3x + 2)²

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

= 9x² + 12x + 4

But RHS is given as 3x² + 6x + 4

Thus, L.H .S. ≠ R.H.S.

The correct statement is (3x + 2)² = 9x² + 12x + 4

☛ Check: NCERT Solutions for Class 8 Maths Chapter 14

Video Solution:

Find and correct the errors in the statement: (3x + 2)² = 3x² + 6x + 4

Class 8 Maths NCERT Solutions Chapter 14 Exercise 14.4 Question 9

Summary:

Find and correct the errors in the statement: (3x + 2)² = 3x² + 6x + 4. The correct statement is (3x + 2)² = 9x² + 12x + 4.

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