patulong po rational algebraic expression
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Answer:
1. 5
2. 3x/5
3. 2(x-9)/x(x-1)
4. 10/y-4
5. y-7/y+2
6. 3/4
7. 1/y+2
8. x+5/2
9. (x-7)(x+3)/(y-9)(y+2)
10. x(x-6)/x-5
11. 5/a-3
12. x^2+x+1/x+1
13. (x-1)(x+3)/(x-5)(x+1)
14. (x+1)(x+2)/x^2+4x+5
15. x^2+y^2/x^2-y^2
Step-by-step explanation:
1. both are monomials, so you can cancel out the x from the denominator and the numerator. Then, cancel out 15 and 3-- 15 divided by 3 is 5.
2. Factor the numerator and denominator using CMF-- 3x^-27x by 3x, and 5x-45 by 5. You get 3x(x-9) over 5(x-9). Cancel out x-9. That leaves 3x/5.
3. Factor the numerator and denominator using CMF. You will get 6(x-9) over 3x(x-1), then cancel out 3 and 6. That leaves 2(x-9) over x(x-1). You can expand the equation by using the distributive method, turning it to 2x-18 over x^2-x.
4. Factor the denominator using CMF. Cancel out y in the denominator and numerator.
5. Factor both numerator and denominator using CMF, then cancel out y+7.
6. Factor both numerator and denominator using CMF, cancel out x+8.
7. Factor the denominator using CMF and cancel out y-2.
8. Factor the denominator and numerator using CMF and cancel out x-5.
9. Factor the denominator and numerator using QT or Quadratic Trinomial.
10. Factor the numerator using CMF twice. Then cancel out x +6.
11. Factor the numerator using CMF, and the denominator using QT. Cancel out a+4.
12. Factor numerator using SDTC, and denominator using DTS. Cancel x-1.
13. Factor both the denominator and numerator using QT.
14. Factor only the numerator using QT.
15. Factor the numerator using DTS and CMF. You should get (x+y)(x-y)(x^2+y^2). Factor the denominator. You should get (x+y)^2 (x-y)^2. Cancel out (x+y) and (x-y).