and Factoring Review Simplifying radicals means taking out (dividing) all terms by a common factor. Factor, if possible, and cancel terms that are identical in the numerator and denominator. 2x² + 8x+ 6 = 2(x² + 4x + 3) = 2(x + 3) (x + 1) you can divide 2 and 8 by 2. The (x+1) will cancel out in the numerator and denominator.
8x² + 16x + 8 8(x² + 2x + 1) 8(x + 1) (x + 1)
ANSWER: x + 3 For more, see rationals Demonstration.
4(x + 1)
Adding rationals with like denominators is more simply known as adding fractions like 1/4 + 3/4. You add the numerators (top) and keep the denominator.
Subtracting rationals with like denominators requires subtracting the numerators and keeping the same denominator.
If the denominators are different, you must find a common denominator and convert the rational expressions.
Multiplying rational expressions is done straight across, simplifying when completed.
Dividing rational expressions requires multiplying by the inverse (flip) of the second term.
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Simplifying radicals means taking out (dividing) all terms by a common factor. Factor, if possible, and cancel terms that are identical in the numerator and denominator.
2x² + 8x+ 6 = 2(x² + 4x + 3) = 2(x + 3) (x + 1) you can divide 2 and 8 by 2. The (x+1) will cancel out in the numerator and denominator.
8x² + 16x + 8 8(x² + 2x + 1) 8(x + 1) (x + 1)
ANSWER:
x + 3 For more, see rationals Demonstration.
4(x + 1)
Adding rationals with like denominators is more simply known as adding fractions like 1/4 + 3/4. You add the numerators (top) and keep the denominator.
Subtracting rationals with like denominators requires subtracting the numerators and keeping the same denominator.
If the denominators are different, you must find a common denominator and convert the rational expressions.
Multiplying rational expressions is done straight across, simplifying when completed.
Dividing rational expressions requires multiplying by the inverse (flip) of the second term.
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