Calendar: 1873-1874 Page 612
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612 THE SCHOOL ii Add togeiher the expressions 15 5y 16 5y llz 17y 172 29 and subtract the sum from 25χ 4Iy 19z Multiply 3x Ay 5z by and divide χί y3 by χ and ye by r2 y2 3- Multiply together yz'2 2y and t5 11 and divide the result by 1γ Find the value of גxy2 y2z and also of χ 2' lJL when and Prove that the sum of the squares of three consecutive integers diminished by is divisible by the square of tlie middle number and that the sum of their cubes is divisible by the square of the middle number increased by Pind the Greatest Common Measure and Least Common Multiple of 15χψ2 and 90 10 x3 31 I5x 45 and x3 15 15 Prove that ζ yf zf and that a2 A2 c2 rf2 Ai erf In how many ways can the expression a2 A2 נ be written in the form of the sum of two squares Ρ
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