Grade 10Algebra
Explain why (a-b)² = (a+b)² - 4abTell 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.
1 Answer
Sahithi
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
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