Question:
Expand: (4x – 5)^2 = ?
विस्तार कीजिए: (4x – 5)^2 = ?
Options:
- a) 16x^2 – 40x + 25
- b) 16x^2 + 40x + 25
- c) 16x^2 – 20x + 25
- d) 8x^2 – 40x + 25
- a) 16x^2 – 40x + 25
- b) 16x^2 + 40x + 25
- c) 16x^2 – 20x + 25
- d) 8x^2 – 40x + 25
correct answer : a)
Explanation:
Using the algebraic identity (a – b)^2 = a^2 – 2ab + b^2:
Here, a = 4x and b = 5.
(4x – 5)^2 = (4x)^2 – 2 * (4x) * 5 + 5^2 = 16x^2 – 40x + 25.
बीजगणितीय सर्वसमिका (a – b)^2 = a^2 – 2ab + b^2 का उपयोग करने पर:
यहाँ, a = 4x और b = 5 है।
(4x – 5)^2 = (4x)^2 – 2 * (4x) * 5 + 5^2 = 16x^2 – 40x + 25.