Practicing Success
If a3 = b3 + 988 and a - b = 4, then what is the value of 2a2 + 2ab + 2b2 ? |
516 494 500 247 |
494 |
If a3 = b3 + 988 a - b = 4 According to the question, a3 - b3 = 988 a3 - b3 = ( a - b ) ( a2 + b2 + ab ) 988 = 4 ( a2 + b2 + ab ) ( a2 + b2 + ab ) = 247 2a2 + 2ab + 2b2 = 2 × 247 = 494 |