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If x 3 + y 3 = 9 and x + y = 3, then the value of x 4 +y 4 is, (A) 21 (B) 0 (C) 17 (D) 25 Answer: (C) Explanation: x 3 +y 3 = (x + y) × (x 2 − xy + y 2) Putting given values of x 3 +y 3 and (x + y) 9 = 3 × ((x+y) 2 − 3xy) = 3 × (9 − 3xy) = 27 − 9xy 9xy = 18 xy = 2 x 4 + y 4 = (x 2 + y 2) 2 - 2x 2 y 2 = (x 2 + y 2) 2 - 2*4 [Putting value of xy] = ((x + y) 2 - 2xy) 2 - 2*4 [Putting values of (x+y) and … Worksheet (3). Writing reinforces Maths learnt. Each goes through … Find any real solutions for the following equations. Register online for Maths tuition on Vedantu.com to score more marks in your examination. There are three files included, all covering different parts of the spec, they are approximately in order of difficulty - part 3 being the most difficult. 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