# algebraic expressions problem

May 19th, 2015
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ALGEBRAIC EXPRESSIONS : STEP 1 : EASY 1. 2b x 4bc = 2 x b x 4 x b x c = 2 x 4 x b x b x c = 8 x b x b x c = 8b2c 2. 4m2 x ½ mn2 = 4 x ½ x m x m x m x n x n = 2 x m3 x n2 = 2 m3 n2

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ALGEBRAIC EXPRESSIONSSTEP 1 : EASYExampleExercise1. 2b x 4bc = 2 x b x 4 x b x c (collect all numbers and similar unknowns together) = 2 x 4 x b x b x c (multiply the numbers and the unknown separately) = 8 x b x b x c = 8b2c2. 4m2 x mn2 = 4 x x m x m x m x n x n = 2 x m3 x n2= 2 m3 n23. 12m2n 3mn = (Express the division in fraction form) = (cancel similar unknowns) = 4. = = 5. -5cd2e 15c2de = = 5. 4p x 6q2 3pq = 1. ab x a2b =2. 3xy x (-2 yz) =3. =4. =5. (-3m2hk3) x (-7m2hk2) = 6. (- 18sr3t2) 6sr2t = 7. 6p2qr 3pq x 8pr =8. =STEP 3 : MODERATE ( EXPANSIONS) ExampleExercise 1. 2p (p - 3q) (Bracket means multiply) = 2p x p - 2p x 3q = 2p2 - 6pq2. -4b(2a + b) = -4b x 2a -4b x b = -8ab - 4b2 3. (6a - 9c) = x 6 2a - x 9c = 4ab -6bc4. 2 (4e +y) - 5( 2e - 3y) = 2 x 4e + 2 x y - 5 x 2e + 5 x 3y = 8e + 2y - 10e + 15y = 8e -10e +2y + 15y = -2e + 17y 1. y ( w + y) =2. -5e ( 3f + 2g) =3. =4. - 7ab(2a - 4b + c) =5. =6. =

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