Expand using suitable identities: (2x - 5y) (2x - 5y)

Solution:

Given, (2x - 5y) (2x - 5y) = (2x - 5y)²

Using standard identity: (a - b)² = a² - 2ab + b²

Here, a = 2x, b = 5y

(2x - 5y) (2x - 5y) = (2x - 5y)²

= (2x)² - [2(2x)(5y)] + (5y)²

= 4x² - 20xy + 25y²

✦ Try This: Expand using suitable identities: (3p - 2q) (3p -2q)

Given, (3p - 2q) (3p -2q)

Using standard identity: (a - b)² = a² - 2ab + b²

(3p - 2q) (3p -2q) = (3p -2q)²

= (3p)² - 2(3p)(2q) + (2q)² = 9p² - 12pq + 4q²

☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 9

NCERT Exemplar Class 8 Maths Chapter 7 Problem 85(x)

Expand using suitable identities: (2x - 5y) (2x - 5y)

Summary:

Expanding (2x - 5y) (2x - 5y) we get, 4x² - 20xy + 25y²

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