If $m – n = 16$ and $m^2 + n^2 = 400$, the value of $mn$ is
Answer & explanation
Correct answer: option 1
Here,
(m - n)2 = m2 + n2 - 2mn
(16)2 = 400 – 2mn
256 = 400 – 2mn
256 – 400 = –2mn
–144 = – 2mn
72 = mn
So the value of mn =72
If $m – n = 16$ and $m^2 + n^2 = 400$, the value of $mn$ is
Correct answer: option 1
Here,
(m - n)2 = m2 + n2 - 2mn
(16)2 = 400 – 2mn
256 = 400 – 2mn
256 – 400 = –2mn
–144 = – 2mn
72 = mn
So the value of mn =72