Question

Difference between the rule (a+b)²=a²+2ab+b² and (a+b)(a-b)=a²-b²​

Answer 1

Answer:

the only difference that in the second formula there is a negative symbol

Explanation:

If we simplify (a+b)² i.e = (a+b)(a+b)

then do the simple calculation

a(a+b)+b(a+b)

a²+ab+ab+b²

a²+2ab+b²

and in the second formula

(a+b)(a-b) = a(a-b)+b(a-b)

= a²-ab+ab-b². (-ab+ab= 0)

= a²-b²