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4. Find the difference of the given rational expressions with unlike denominators: 6 2 x²-4 x²-5x + 6​

Sagot :

Malapopaul15go

Answer:

4x-22/(x-2)(x+2)(x-3)

Step-by-step explanation:

6-(x-2)(x+2)-2/(x-2)(x-3)

Find the the least common denominator (LCD)

LCD: (x-2)(x+2)(x-2)

Multiply each expression by it's LCD.

6(LCD)/(x-2)(x+2)-2(LCD)/(x-2)(x-3)

Write the simplified expression.

6(x-3)-2(x+2)

Let the simplified expression as the numerator and the LCD as the denominator of the new fraction.

6x-18-2x-4/(x-2)(x+2)(x-3)

Combine like terms and reduce the rational expressions.

4x-22/(x-2)(x+2)(x-3)

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