Question

Simplify: (step by step)
(4a-3)³ - (4a + 3)³

Answer 1

GIVEn

Simplify:

(4a-3)³ - (4a + 3)³

SOLUTIOn

→ (4a - 3)³ - (4a + 3)³

Applying identity :

a³ - b³ = (a - b)(a² + ab + b²)

→ [(4a - 3) - (4a + 3)][(4a - 3)² + (4a - 3)(4a + 3) + (4a + 3)²]

→ [4a - 3 - 4a - 3][{(4a)² + (3)² - 2*4a*3} + (4a)² - (3)² + {(4a)² + (3)² + 2*4a*3]

→ -3[16a² + 9 - 24a + 16a² - 9 + 16a² + 9 + 24a]

→ -3[16a² + 16a² + 16a² ]

→ -3 × 48a²

→ -144a²