Identities

# Identities - (a a b a  b a 2 b 2(b(3 x  2 y 1(3 x 2 y...

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F.2 Mathematics Quiz (Identities) Name: ______________________ F.2___ ( ) Date:______________ Total score: 100 Time allowed: 35 minutes 1. By using identities, expand the following expressions. (a) 2(3 x 2 y )( 2 y 3 x ) (b) 2 4 2 x x (20 marks) 2. Determine whether the following are identities. (a) 2(6 x 3) = 3(2 4 x ) (b) 3 1 4 m 9 4 7 m 9 1 5 m (20 marks)

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3. If 2( x 2 1) Ax ( x + B )( Cx 1), find the values of the constants A , B and C . (15 marks) 4. Expand the following by using identities.
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Unformatted text preview: (a) ( a + b )( a  b )( a 2 + b 2 ) (b) (3 x  2 y + 1)(3 x + 2 y  1) (15 marks) 5. Determine whether x 3  27 y 3 = ( x  3 y )( x 2 + 3 xy + 9 y 2 ) is an identity. (15 marks) 6. (a) Given that x x 1 2  = 8, find the value of 2 2 1 4 x x  . (b) Given that x 2 + x + 1 = 5, find the value of (2 x + 1) 2 . (10 marks) 7. How many digits are there in the answer of (99999999999999 2  1)? (5 marks) Answer: ____________ END OF PAPER...
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## This note was uploaded on 10/17/2011 for the course IELM 3010 taught by Professor Fugee during the Winter '11 term at HKUST.

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Identities - (a a b a  b a 2 b 2(b(3 x  2 y 1(3 x 2 y...

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