Determine the value of the product (4a + 3b) (16a2 − 12ab + 9b2 ) for a = 2 and b = 3.
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 1241.
Given that, (4a + 3b)(16a2 − 12ab + 9b2)
⇒ 64a3 - 48a2b + 36ab2 + 48a2b - 36ab2 + 27b3
⇒ 64a3 + 27b3
According to the given question, putting the values of a and b,
⇒ 64(2)3 + 27(3)3
⇒ 64(8) + 27(27)
⇒ 512 + 729 = 1241
Hence the required answer is 1241.