Selection Post Phase XIV (Graduate)19 Sep 2026Shift 1Algebra

If a + b = 3 and ab = 2, find a3 + b3.

यदि a + b = 3 और ab = 2 है, तो a3 + b3 ज्ञात कीजिए।

Answer और ExplanationAnswer and explanation

Answer: (A) 9

a3 + b3 = (a + b)3 − 3ab(a + b)
= 33 − 3 × 2 × 3 = 27 − 18 = 9
✓
उत्तर 9 है।
a3 + b3 = (a + b)3 − 3ab(a + b)
= 33 − 3 × 2 × 3 = 27 − 18 = 9
✓
The answer is 9.
SMART APPROACH

योग 3 और गुणनफल (Product) 2 का मतलब है कि संख्याएँ 2 और 1 हैं। इसलिए a3 + b3 = 8 + 1 = 9।

Sum 3 and product 2 means the numbers are 2 and 1. So a3 + b3 = 8 + 1 = 9.

Source: Selection Post Phase XIV (Graduate) · 19 Sep 2026 · Shift 1। Solution: Prashant Sir, Vijayastra।Source: Selection Post Phase XIV (Graduate) · 19 Sep 2026 · Shift 1. Solution by Prashant Sir, from Vijayastra.