Find the product of the following binomials. With solution.
1. (a+5)³
2. (3b-4b)³
3. (8+c)³
4. (10k-5)³
5. (4x³+1)³
pa answer po plsss.
thank you in advance
1. (a+5)³
2. (3b-4b)³
3. (8+c)³
4. (10k-5)³
5. (4x³+1)³
pa answer po plsss.
thank you in advance
Answers & Comments
Answer:
1. (a + 5)³
(a + 5)(a + 5)(a + 5)
(a² + 5a + 5a + 25)(a + 5)
(a² + 10a + 25)(a + 5)
a³ + 5a² + 10a² + 50a + 25a + 125
= a³ + 15a² + 75a + 125
2. (3b - 4b)³
(3b - 4b)(3b - 4b)(3b - 4b)
(9b² -12b² - 12b² + 16b²)(3b - 4b)
b²(3b - 4b)
3b³ - 4b³
= -b³
3. (8 + c)³
(8 + c)(8 + c)(8 + c)
(64 + 8c + 8c + c²)(8 + c)
(64 + 16c + c²)(8 + c)
512 + 64c + 128c + 16c² + 8c² + c³
= c³ + 24c² + 192c + 512
4. (10k - 5)³
(10k - 5)(10k - 5)(10k - 5)
(100k² - 50k - 50k + 25)(10k - 5)
(100k² - 100k + 25)(10k - 5)
1000k³ - 500k² - 1000k² - 500k + 250k - 125
= 1000k³ - 1500k² - 250k - 125
5. (4x³ + 1)³
(4x³ + 1)(4x³ + 1)(4x³ + 1)
(16x^6 + 4x³ + 4x³ + 1)(4x³ + 1)
(16x^6 + 8x³ + 1)(4x³ + 1)
64x^9 + 16x^6 + 32x^6 + 8x³ + 4x³ + 1
= 64x^9 + 48x^6 + 12x³ + 1