Expand using suitable identities: (x² + y²) (x² - y²)

Solution:

Given, (x² + y²) (x² - y²)

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

Here, a = x² and b = y²

(x² + y²) (x² - y²) = (x²)² - (y²)² = x⁴ - y⁴

✦ Try This: Expand using suitable identities: (p⁴ + q⁴)(p⁴ - q⁴)

Given, (p⁴ + q⁴)(p⁴ - q⁴)

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

(p⁴ + q⁴)(p⁴ - q⁴) = (p⁴)² - (q⁴)² = p⁸ - q⁸

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

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

Expand using suitable identities: (x² + y²) (x² - y²)

Summary:

Expanding (x² + y²) (x² - y²) we get, x⁴ - y⁴

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