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Simplifying Rational Expressions We are trying to get common terms to factor ( cancel ) to = 1. You might have to distribute or FOIL to get started. ALWAYS look to factor 1 st ….

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Simplifying Rational Expressions You CAN NOT factor terms separated by addition and subtraction. We are trying to get common terms to factor ( cancel ) to = 1. You might have to distribute or FOIL to get started. ALWAYS look to factor 1 st …. REMEMBER !!!

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Simplifying Rational Expressions We are trying to get common terms to factor ( cancel ) to = 1. You might have to distribute or FOIL to get started. ALWAYS look to factor 1 st …. REMEMBER !!! You CAN NOT factor terms separated by addition and subtraction. ONLY multiplication and ONLY terms that are EXACTLY the same !!!

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Simplifying Rational Expressions EXAMPLE : Simplify

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Simplifying Rational Expressions EXAMPLE : Simplify Factor…

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Simplifying Rational Expressions EXAMPLE : Simplify Factor… Cancel…

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Simplifying Rational Expressions EXAMPLE : Simplify

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Simplifying Rational Expressions EXAMPLE : Simplify Distribute…

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Simplifying Rational Expressions EXAMPLE : Simplify Distribute… Combine any like terms…

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Simplifying Rational Expressions EXAMPLE : Simplify Distribute… Combine any like terms… This is your answer !!! You CAN NOT cancel the – 5x and 5x

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Simplifying Rational Expressions EXAMPLE : Simplify

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Simplifying Rational Expressions EXAMPLE : Simplify FOIL ( 6x + h ) 2

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Simplifying Rational Expressions EXAMPLE : Simplify FOIL ( 6x + h ) 2 Combined like terms

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Simplifying Rational Expressions EXAMPLE : Simplify FOIL ( 6x + h ) 2 Combined like terms Factored out common term h

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Simplifying Rational Expressions EXAMPLE : Simplify FOIL ( 6x + h ) 2 Combined like terms Factored out common term h Cancel…

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Simplifying Rational Expressions EXAMPLE : Simplify

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Simplifying Rational Expressions EXAMPLE : Simplify When simplifying rational expressions, sometimes the order of terms will be reversed.

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Simplifying Rational Expressions EXAMPLE : Simplify When simplifying rational expressions, sometimes the order of terms will be reversed. When the terms are separated by addition, the order really doesnt matter and still allows you to cancel…

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Simplifying Rational Expressions EXAMPLE : Simplify When simplifying rational expressions, sometimes the order of terms will be reversed. When the terms are separated by addition, the order really doesnt matter and still allows you to cancel… When the terms are separated by subtraction, the order does matter. You can still cancel but now we need to place a negative sign in our answer…

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Simplifying Rational Expressions EXAMPLE : Simplify When simplifying rational expressions, sometimes the order of terms will be reversed. When the terms are separated by addition, the order really doesnt matter and still allows you to cancel… When the terms are separated by subtraction, the order does matter. You can still cancel but now we need to place a negative sign in our answer…

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Simplifying Rational Expressions EXAMPLE : Simplify When simplifying rational expressions, sometimes the order of terms will be reversed. When the terms are separated by addition, the order really doesnt matter and still allows you to cancel… When the terms are separated by subtraction, the order does matter. You can still cancel but now we need to place a negative sign in our answer…

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Simplifying Rational Expressions EXAMPLE : Simplify When simplifying rational expressions, sometimes the order of terms will be reversed. When the terms are separated by addition, the order really doesnt matter and still allows you to cancel… When the terms are separated by subtraction, the order does matter. You can still cancel but now we need to place a negative sign in our answer…

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Simplifying Rational Expressions EXAMPLE : Simplify When simplifying rational expressions, sometimes the order of terms will be reversed. When the terms are separated by addition, the order really doesnt matter and still allows you to cancel… When the terms are separated by subtraction, the order does matter. You can still cancel but now we need to place a negative sign in our answer…

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Simplifying Rational Expressions EXAMPLE : Simplify When simplifying rational expressions, sometimes the order of terms will be reversed. When the terms are separated by addition, the order really doesnt matter and still allows you to cancel… When the terms are separated by subtraction, the order does matter. You can still cancel but now we need to place a negative sign in our answer…

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Simplifying Rational Expressions EXAMPLE : Simplify When simplifying rational expressions, sometimes the order of terms will be reversed. When the terms are separated by addition, the order really doesnt matter and still allows you to cancel… When the terms are separated by subtraction, the order does matter. You can still cancel but now we need to place a negative sign in our answer…

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Solving Equations with Variable on Both Sides Objective: Students will solve equations with variables on both sides. Section 3.4.

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