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Answer :
5. (x+2)(x-3)/2
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Rewritten by : Barada
[tex]1. A. \( \frac{x^2 + 3x + 10}{(x + 2)(x + 5)} \)\\2. D. \( \frac{c(c - 2)}{2(c + 2)} \)\\3. D. \( \frac{3x^2 + 6x + 6}{x(x + 3)} \)\\4. C. \( \frac{3(a - 5)(a + 4)}{2a(a + 5)} \)\\5. \( \frac{2x + 2}{8} \)[/tex].
1. For the first expression, you want to find the common denominator and combine the fractions. The correct option is A.
2. For the second expression, first factorize both the numerator and the denominator, then simplify. The correct option is D.
3. For the third expression, combine the fractions and simplify. The correct option is D.
4. For the fourth expression, factorize both the numerator and the denominator, then simplify. The correct option is C.
5. For the fifth expression, combine the fractions and simplify. The simplified form is [tex]\( \frac{2x+2}{8} \).[/tex]
Complete question :
Which expression is equal to 2x/x+2−x − 3x/+5
A. x2+3x+10/(x+2)(x+5)
B. x2+11x+6/(x+2)(x+5)
C. x2+9x+6/(x+2)(x+5)
D. 3x2+11x+6/(x+2)(x+5)
2. Which expression is equal to c2−4/6c4+15c3 ÷ c2−4c+4/12c3+30c2
A. 2(c−2)/c(c+2)
B. c(c+2)/2(c−2)
C. 2(c+2)/c(c−2)
D. c(c−2)/2(c+2)
3. Which expression is equal to 3x/x+3+x+2/x ?
A. x2+8x+6/x(x+3)
B. 4x2+5x+6/x(x+3)
C. 4x2−5x+6/x(x+3)
D. 3x2+6x+6/x(x+3)
4. Which expression is equal to 6a2−30a/a−2⋅a2+2a−8/2a3−10a2?
A. 2a(2a−8)/a3−10
B. 3a+4/a
C. 3a+12/a
3(a−5)(a+4)/2a(a+5)
5. Enter the simplified form of the complex fraction in the box.
Assume no denominator equals zero.
2/x−1+1/x / 8/x
