Simplify: (ab - c)² + 2abc

Solution:

Given, (ab - c)² + 2abc

Using standard identity : (x - y)² = x² - 2xy + y²,

Here, x = ab and y = c

(ab - c)² + 2abc

= [(ab)² - 2(ab)(c) + c²] +2abc

= (ab)² + c² - 2(ab)(c) + 2abc

= (ab)² + c²

✦ Try This: Simplify: (p + 2qr)² - 4pqr

Given, (p + 2qr)² - 4pqr

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

Here, a = p and b = 2qr

= [(p)² + 2(p)(2qr) + (2qr)² ] - 4pqr

= p² + 4q²r²

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

NCERT Exemplar Class 8 Maths Chapter 7 Problem 84(viii)

Simplify: (ab - c)² + 2abc

Summary:

Simplifying (ab - c)² + 2abc we get, (ab)² + c²

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