0

Guest

Courses New

Explain why (a-b)² = (a+b)² - 4ab Tell the answer as fast as you could because I'm studying right now.

Explain why (a-b)² = (a+b)² - 4ab
Tell the answer as fast as you could because I'm studying right now.

Grade:10

1 Answers

Sahithi
28 Points
3 years ago
Given,
(a-b)2 = (a+b)2 – 4ab      (1)
Let’s take R.H.S first and we will  compare it with L.H.S.
(a+b)2 = a2 + b2 +2ab     (2)
By adding  (-4ab) to (2) on both sides we get
(a+b)2  – 4ab = a2 + b2 +2ab  – 4ab
                      = a2 + b2 – 2ab
                      = (a-b)2
 
Hence prooved

Think You Can Provide A Better Answer ?

Other Related Questions on Algebra

View all Questions »

ASK QUESTION

Get your questions answered by the expert for free

Answer and earn gift vouchers

Win Gift vouchers upto Rs 500/-

View courses by askIITians

Design classes One-on-One in your own way with Top IITians/Medical Professionals

Click Here Know More

Complete Self Study Package designed by Industry Leading Experts

Click Here Know More

Live 1-1 coding classes to unleash the Creator in your Child

Click Here Know More

a Complete All-in-One Study package Fully Loaded inside a Tablet!

Click Here Know More