Question

(a-b)2 = a2 + b2- 2ab prove

Answer 1

Here is my answer>>
(a-b)^2=a^2+b^2-2ab
(a-b)^2 can be written as (a-b)(a-b)
Now let's solve (a-b)(a-b)
This will be
a×a-a×b-b×a-b×-b
=a^2-ab-ab+b^2
=a^2-2ab+b^2
L.H.S = R.H.S
Hope it helps!
Thankyou ☆ ☆

Answer 2

Heya !!

$(a-b) ^2 \: \: \text{can be written as} \: \: (a-b)(a-b) \\\\\text{On multiplying, we have,}\\\\a^2 -ab -ab + b^2 \\\\= a^2 + b^2 - 2ab\\\\\textbf{Hence Proved...}$

Hope it helps !!