Selection Post Phase XIV (Graduate)25 Sep 2026Shift 1Algebra

Find the value of (5x + 2)2 − (5x − 2)2.

(5x + 2)2 − (5x − 2)2 का मान ज्ञात कीजिए।

Answer और ExplanationAnswer and explanation

Answer: (B) 40x

A2 − B2 = (A + B)(A − B), जहाँ A = 5x + 2, B = 5x − 2
A + B = 10x और A − B = 4
मान = 10x × 4 = 40x
✓
उत्तर 40x है।
A2 − B2 = (A + B)(A − B) with A = 5x + 2, B = 5x − 2
A + B = 10x and A − B = 4
Value = 10x × 4 = 40x
✓
The answer is 40x.
SMART APPROACH

(a + b)2 − (a − b)2 = 4ab, जहाँ a = 5x, b = 2: 4 × 5x × 2 = 40x।

(a + b)2 − (a − b)2 = 4ab, with a = 5x, b = 2: 4 × 5x × 2 = 40x.

Source: Selection Post Phase XIV (Graduate) · 25 Sep 2026 · Shift 1। Solution: Prashant Sir, Vijayastra।Source: Selection Post Phase XIV (Graduate) · 25 Sep 2026 · Shift 1. Solution by Prashant Sir, from Vijayastra.