Question

a square + b square is equal to 58 and a - b is equal to 4 then the value of AB is

Answer 1

Given that a-b=4

a^2+b^2=58
=>(a-b) ^2+2ab=58

=>4^2+2ab=58

=>16+2ab=58

=>2ab=58-16=42

=>ab=42/2=21

.......hope it helps.......

Answer 2

Answer:

Step-by-step explanation:

If a - b = 4

( a - b )^2 = ( a- b) ( a+ b)

4^2 = 4 ( a+ b )

16  = 4 ( a+ b)

16 ÷ 4 = ( a + b )

4 = ( a + b )

If a^2 + b^2 = 58

a^2 + b^2 = a^2 + b^2 + 2ab

58 = 4^2 + 2ab

58 = 16 + 2ab

58 - 16 = 2ab

42 = 2ab

42 ÷ 2 = ab

21 = ab