If a + b = 24 and 8ab = 256, then what is the value of $ 3a^2 + 3b^2 $ ?
Answer & explanation
Correct answer: option 1
If a + b = 24
8ab = 256,
then what is the value of $ 3a^2 + 3b^2 $
If 8ab = 256,
then, ab = 32
$ 3(a^2 + b^2) $= 3 ×( 242 - 2 × 32)
$ 3(a^2 + b^2) $ = 3 ×( 576 - 64)
$ 3(a^2 + b^2) $ =3 × 512 = 1536