Calendar: 1891-1892 Page 820

CXXXI1 ENGINEERING DEPARTMENT FIRST AND SECOND YEARS Elemental Ugebva 15 Prove that the product of the sum and difference of two quantities is the difference of their squares Verify the above if the quantities are x2 2xy 3xy 4y2 16 What is meant by the 'rule of signs' in Algebra Upon what basis does it rest Can the product of two equal quantities be negative Multiply a2 ah Ψ χ a2 ah b2 by 1j 17 If χ express l6 x2y2 y4 as the product of two expressions involving and 18 Separate into factors x2 bx ex be xy -rfz- xy2z λ VJ 1- 2a6 ah2 a2b a2b2 ae υ bc ab2 a-b 19 What is meant by the Highest Common Factor ef two Algebraical expressions Find the and of 2x3 3x2 bx and 2x3 x2 lx 20 Solve the equation 2x 6b 21 3a יי bb 3a and verify that your solution satisfies the equation 21 man bought χ lbs oz Av at xd per oz and sold atys per lb thereby gaining 18yd which was 20y per cent Find χ and 22 If x3 j0 qx is satisfied by χ prove that x3 px2 is divisible by χ If xz t2 '-'x has root find and the other roots