Question

Simplify ; (5a + 3b)^3 - (5a - 3b)^3

Answer 1

hi mate,

solution: (5a+3b)³-(5a-3b)³

= (5a)³+3*(5a)²*3b+3*5a*(3b)²+(3b)³- [(5a)³-3*(5a)²*3b+3*5a*(3b)²-(3b)³]

=(5a)³+3*(5a)²*3b+3*5a*(3b)²+(3b)³-(5a)³+3*(5a)²*3b-3*5a*(3b)²+(3b)³

=2*3*(5a)²*3b+2*(3b)³

=450a²b+54b³

i hope it helps you.

Answer 2

Answer:

Question :-

➭ (5a + 3b)³ - (5a - 3b)³

Formula used :-

➪ (a + b)³ = a³ + 3a²b + 3ab² + b³

➪ (a - b) = a³ - 3a²b + 3ab² - b³

Answer :-

➭ (5a + 3b)³ - (5a - 3b)³

➻ {(5a)³ + 3 × (5a)² × 3b + 3 × 5a × (3b)² + (3b)³} - {(5a)³- 3 × (5a)² × 3b + 3 × 5a × (3b)² - (3b)³}

➻ (125a³ + 225a²b + 135ab² + 27b³) - (125a³ - 225a²b + 135ab² - 27b³)

➻ 125a³ + 225a²b + 135ab² + 27b³ - 125a³ + 225a²b - 135ab² + 27b³

➻ 125a³ - 125a³ + 225a²b + 225a²b + 135ab² - 135ab² + 27b³ + 27b³

➻ 450a²b + 54b³