Find and correct the errors in the statement: (2a + 3b)(a - b) = 2a² - 3b²

Solution:

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

Given,

(2a + 3b)(a - b) = 2a² - 3b²

Solving LHS we get,

(2a + 3b)(a - b)

= (2a × a) - (2a × b) + (3b × a) - (3b × b)

= 2a² - 2ab + 3ab - 3b²

= 2a² + ab - 3b²

But, RHS is given as 2a² - 3b²

Thus, L.H.S ≠ R.H.S

The correct statement is (2a + 3b)(a - b) = 2a² + ab - 3b²

☛ Check: NCERT Solutions for Class 8 Maths Chapter 14

Video Solution:

Find and correct the errors in the statement: (2a + 3b)(a - b) = 2a² - 3b²

Class 8 Maths NCERT Solutions Chapter 14 Exercise 14.4 Question 13

Summary:

Find and correct the errors in the statement: (2a + 3b)(a - b) = 2a² - 3b². The correct statement is (2a + 3b)(a - b) = 2a² + ab - 3b²

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