If a + b = 27 and a3 + b3 = 5427, then find ab.
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e 176
| Understanding | Application |
| We will use algebraic identities to reduce the given equation into a solvable format. |
We know that ⇒ (a + b)3 = a3 + b3 + 3ab(a + b) By putting the values in the given formula we would get, ⇒ (27)3 = 5427 + 3ab(27) ⇒ (27)2 = 201 + 3ab ⇒ 3ab = 729 - 201 ⇒ ab = 528 / 3 = 176 |