Question

Given that a+b = 10 and a square - b square = 40 find the value of a-b

Answer 1

a+b = 10
a²-b² = 40 because a²-b²= (a+b) (a-b)
(a+b) (a-b) = 40
now put the value of a+b = 10 in this equation
(a-b)=40/10 = 4
so (a-b) = 4

Answer 2

a+b=10-----take it as eq.1

a²-b²=40
•°•(a+b)(a-b)=40
•°•(10)(a-b)=40---------from eq.1
•°•a-b=4
Therefore we found the value of a-b as 4