Question

if x+y =√32 and (x-y)^2=20 then xy​

Answer 1

Answer:

hey mate this is your answer

xy=3

please see the attachment for stepwise answer

hope it helps you

pls mark it as brainliest answer.....

Answer 2

Dear Friend ,

Hereby I present my well explained answer stepwise ,

We know that ,

(a+b)² = a²+2ab+b²...... Equation (1)

(a-b)² = a²-2ab+b²....... Equation (2)

Subtracting Equation (2) from Equation (1)

We obtain ,

(a+b)² - (a-b)² = 4ab...... (Formula)

Thus this equation would prove helpful for us

Now ,

x+y=√32

Squaring on both sides,

(x+y)²= 32

Also , (x-y)²= 20

Subtracting one from other we obtain using formula ,

(x+y)²-(x-y)²= 32-20

from formula,

4xy=12

xy=12/4 = 3

Therefore value of xy is 3

Hope my answer would have helped

Please post doubts in comments

Wish you would tag this as a brainliest answer

Thanking You.

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