Verify: (a + b) (a + b) (a + b) = a³ + 3a²b + 3ab² + b³

Solution:

Given, (a + b) (a + b) (a + b) = a³ + 3a²b + 3ab² + b³

L.H.S = (a + b) (a + b) (a + b)

= (a² + 2ab + b²) (a + b)

= a³ + a²b + 2a²b + 2ab² + ab² + b³

= a³ + 3a²b + 3ab² + b³

= R.H.S

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

✦ Try This: Verify: (x + 2y)(x + 2y)(x + 2y) = x³ + 6x²y + 12xy² + 8y³

Given, (x + 2y)(x + 2y)(x + 2y) = x³ + 6x²y+6xy² + 8y³

L.H.S = (x + 2y)(x + 2y)(x + 2y)

= (x² + 4xy + 4y²)(x + 2y)

= x³ + 2x²y + 4x²y + 8xy² + 4xy² + 8y³

= x³ + 6x²y + 12xy² + 8y³

= R.H.S

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(v)

Verify: (a + b) (a + b) (a + b) = a³ + 3a²b + 3ab² + b³

Summary:

(a + b) (a + b) (a + b) = a³ + 3a²b + 3ab² + b³ is true

☛ Related Questions:

• 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
• Verify: (5x + 8)² - 160x = (5x - 8)²