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Precalc0006to0010-page31

# Precalc0006to0010-page31 - Example 2(Making Compound...

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(Section 0.10: More Algebraic Manipulations) 0.10.2 Answer: 7 x + 3 x 4 = 7 x 3 4 + 3 x ± 1 4 In calculus , the right-hand side is much easier to differentiate and integrate. § WARNING 1 : Do not split a fraction in this way through its denominator . For example, 1 x + y is not equivalent to 1 x + 1 y . PART C: MAKING COMPOUND FRACTIONS When we divide by a nonzero number, we multiply by its reciprocal . When we multiply by a nonzero number, we divide by its reciprocal
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Unformatted text preview: . Example 2 (Making Compound Fractions) Fill in the boxes below with appropriate, simplified numbers: 9 x 2 + 3 y 2 4 = x 2 + y 2 Â§ Solution 9 x 2 + 3 y 2 4 = 9 1 x 2 + 3 4 y 2 WARNING 2 : 3 4 y 2 is not equivalent to 3 4 y 2 . = x 2 1 9 + y 2 4 3 Answer: 9 x 2 + 3 y 2 4 = x 2 1 9 + y 2 4 3 Â§ â€¢ This technique will be used in Chapter 10 to set up standard forms for equations of conics....
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