Verify: (m + n) (m² - mn + n²) = m³ + n³

Solution:

Given, (m + n) (m² - mn + n²) = m³ + n³

L.H.S = (m + n) (m² - mn + n²)

= m³ - m²n +mn² + nm² - mn² + n³

= m³ + n³

= R.H.S

✦ Try This: Verify: (m + n) (m² - mn + n²) = m³ + n³, if m = 10 and n = 6

Given, (m + n) (m² - mn + n²) = m³ + n³ and m = 10 and n = 6

Substituting the values of m and n,

L.H.S. = (m + n) (m² - mn + n²)

= (10 + 6) (10² - (10)(6) + 6²)

= 16 (76) = 1216

R.H.S = m³ + n³

= 10³ + 6³

= 1000 + 216 = 1216

L.H.S. = R.H.S.

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

NCERT Exemplar Class 8 Maths Chapter 7 Problem 113(iv)

Verify: (m + n) (m² - mn + n²) = m³ + n³

Summary:

(m + n) (m² - mn + n²) = m³ + n³ is true

☛ Related Questions:

• Verify: (a + b) (a + b) (a + b) = a³ + 3a²b + 3ab² + b³
• Verify: (a - b) (a - b) (a - b) = a³ - 3a²b + 3ab² - b³
• Verify: (a² - b²) (a² + b²) + (b² - c²) (b² + c²) + (c² - a²) + (c² + a²) = 0