Practicing Success
If a + b = 24 and 8ab = 256, then what is the value of $ 3a^2 + 3b^2 $ ? |
1536 1024 512 1636 |
1536 |
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 |