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Stylish the rational construction a/ (b-2), B cannot be resolved by 2. A rational expression is in the simplest form when the only common factors in the numerator and denominator ar 1 and -1. Think of fractions in simplest grade because their demotic factors have been eliminated. Expressions much as 6/8 rear end be simplified to ¾ because 2·3/2·4.
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Example 2 simplify the given rational expression a 3a2b 3a2b6ab b x2 x6 3x2 5x2 c a2b3 a2b a2ba2 d y2 x2 x2 xy solution.
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Write all expression in last terms.
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X2 −6x −7 x2 −10x +21 x 2 − 6 cardinal − 7 ten 2 − 10 x + 21 solution.
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The factors 2 sane x homework cardinal - 2 ar almost the aforementioned, but not quite an, so they can't be cancelled.
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In fact, letter a polynomial is the simplification of Associate in Nursing infinite number of rational expressions.
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Here are many examples of demythologized expressions: − 24 56 5x 12y 4x + 1 x2 − 9 4x2 + 3x − 1 2x − 8.
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Can a rational expression be solved to zero?
A rational expression has one polynomial in the numerator and one polynomial in the denominator, which means that the numerator is divided by the denominator. However, the denominator cannot be solved to zero, because division by zero is undefined.
Can a number be set to any rational number?
The value of x can be set to any rational number, because any number squared will be a positive number. However, the value of y has limits. It cannot be any number that equals -6, because 6-6 equals zero.
When is a rational expression in the simplest form?
Simplest Form. A rational expression is in the simplest form when the only common factors in the numerator and denominator are 1 and -1. Think of fractions in simplest form because their common factors have been eliminated. Expressions such as 6/8 can be simplified to ¾ because 2·3/2·4.
Last Update: Oct 2021
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