A Quick Guide to Cancellation

# A Quick Guide to Cancellation - 2 œ 2 œ 3 œ x œ x œ y...

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A Quick Guide to Cancellation Students are often required to simplify, or reduce, rational expressions in Algebra. When simplifying such expressions, remember that you are only allowed to cancel common factors in a fraction and not common terms. See the following examples. (Recall that factors are multiplied while terms are added or subtracted.) Cancelling is Allowed: a œ b a = a œ b a = b or a œ c c = a œ c c = a ( cancel common factors) Examples: 33 11 = 3 œ 11 11 = 3 œ 11 11 = 3 12 x 2 y 4 6 xy 3 = 2 œ 2 œ 3 œ x œ x œ y œ y œ y œ y 2 œ 3 œ x œ y œ y œ y =
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Unformatted text preview: 2 œ 2 œ 3 œ x œ x œ y œ y œ y œ y 2 œ 3 œ x œ y œ y œ y = 2 xy ( x- 9)( x + 1) ( x- 9) = ( x- 9) ( x + 1) ( x- 9) = ( x + 1) 15 ± 3 13 27 = 3 5 ± 13 3 œ 3 œ 3 = 3 5 ± 13 3 œ 3 œ 3 = 5 ± 13 9 Cancelling is NOT Allowed: a + b a , a - b a , a + c c , or a- c c ( cannot cancel common terms) Examples: 7 x- 2 7 x cannot be simplified. x 2 + 49 49 cannot be simplified. y- 4 y + 4 cannot be simplified. 61 ± 5 6 61 cannot be simplified....
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