(3a+5b)³ = (3a+5b)(3a+5b)(3a+5b) Expanding this expression, we get: (3a+5b)(3a+5b) = 9a² + 15ab + 15ab + 25b² = 9a² + 30ab + 25b² Now, multiplying by (3a+5b) again: (9a² + 30ab + 25b²)(3a+5b) = 27a³ + 45a²b + 75ab² + 45a²b + 75ab² + 125b³ Combining like terms, we get: 27a³ + 90a²b + 150ab² + 125b³
(0,2x-4)³ = (0.2x-4)(0.2x-4)(0.2x-4) Expanding this expression, we get: (0.2x-4)(0.2x-4) = 0.04x² - 0.8x - 0.8x + 16 = 0.04x² - 1.6x + 16 Now, multiplying by (0.2x-4) again: (0.04x² - 1.6x + 16)(0.2x-4) = 0.008x³ - 0.32x² + 3.2x - 0.32x² + 12.8x - 128 Combining like terms, we get: 0.008x³ - 0.64x² + 15x - 128
(3a+5b)³ = (3a+5b)(3a+5b)(3a+5b)
Expanding this expression, we get:
(3a+5b)(3a+5b) = 9a² + 15ab + 15ab + 25b² = 9a² + 30ab + 25b²
Now, multiplying by (3a+5b) again:
(9a² + 30ab + 25b²)(3a+5b) = 27a³ + 45a²b + 75ab² + 45a²b + 75ab² + 125b³
Combining like terms, we get:
27a³ + 90a²b + 150ab² + 125b³
(0,2x-4)³ = (0.2x-4)(0.2x-4)(0.2x-4)
Expanding this expression, we get:
(0.2x-4)(0.2x-4) = 0.04x² - 0.8x - 0.8x + 16 = 0.04x² - 1.6x + 16
Now, multiplying by (0.2x-4) again:
(0.04x² - 1.6x + 16)(0.2x-4) = 0.008x³ - 0.32x² + 3.2x - 0.32x² + 12.8x - 128
Combining like terms, we get:
0.008x³ - 0.64x² + 15x - 128