if a+b=16 and a-b=2 then ab
Answers
Answer:
63
Step-by-step explanation:
Given:
a+b=16
a-b=2
To Find:
ab = ?
Solution:
We know that,
(a+b)² = (a-b)² + 4ab
=> (16)² = (2)² + 4ab
=> 256 = 4 + 4ab
=> 4ab = 256 - 4
=> 4ab = 252
=> ab = 252/4
ab = 63
Answer: 63
Step-by-step explanation: given
a+b= 16
a-b = 2
ab = ?
we know that ,
(a-b)^2 = (a+b)^2 - 4ab
now , substitute the values
( 2)^2 = (16)^2 -4ab
4 = 256 - 4ab
4ab = 256 - 4
= 252
ab = 252/ 4
ab = 63
hope it helps .....