Simplify \frac{1+\frac{2}{x+4}}{1+\frac{9}{x-3}} Step 1: Find the LCM of the denominators of the fractions in the numerator and denominator. Step 2: Multiply the numerator and denominator of the complex fraction by the LCM. Step 3: Factor \frac{x-3}{x+4} Step 4: Divide out common factors.

tinfoQ 2021-08-03 Answered
Simplify.
1+2x+41+9x3
Step 1: Find the LCM of the denominators of the fractions in the numerator and denominator.
Step 2: Multiply the numerator and denominator of the complex fraction by the LCM.
Step 3: Factor x3x+4
Step 4: Divide out common factors.
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Expert Answer

irwchh
Answered 2021-08-04 Author has 102 answers
Given fraction is:
1+2x+41+9x3
To simplify the given fraction.
Step1. Find the LCM of the denominators of the fractions in numerators and denominators
1+2x+41+9x3=(x+4)+2(x+4)(x3)+9(x3)
(x+6)(x+4)(x+6)x3
Step 2. Multiply the numerator and denominator of the complex fraction by the LCM.
(x+6)(x+4)(x+6)x3=(x+6)×(x3)(x+4)×(x+6)
Step 3. Factor
(x+6)×(x3)(x+4)×(x+6)
Step 4. Divide out common factors
(x+6)×(x3)(x+4)×(x+6)=(x3x+4)
Thus, the simplified form is (x3x+4).
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