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2 câu trả lời 6699
\[\begin{array}{l}
A = \frac{{x - 4}}{{x + 5}}\\
B = \frac{2}{{x + 4}} + \frac{{x + 20}}{{{x^2} - 16}}\\
(x \ne \pm 4;x \ne - 5)\\
a)voi:x = - 3(tm)\\
= > A = \frac{{( - 3) - 4}}{{( - 3) + 5}} = \frac{{ - 7}}{2}\\
b)B = \frac{2}{{x + 4}} + \frac{{x + 20}}{{{x^2} - 16}}(x \ne \pm 4;x \ne - 5)\\
= \frac{2}{{x + 4}} + \frac{{x + 20}}{{(x - 4)(x + 4)}}\\
= \frac{{2(x - 4) + x + 20}}{{(x - 4)(x + 4)}}\\
= \frac{{2x - 8 + x + 20}}{{(x - 4)(x + 4)}}\\
= \frac{{3x + 12}}{{(x - 4)(x + 4)}}\\
= \frac{{3(x + 4)}}{{(x - 4)(x + 4)}}\\
= \frac{3}{{x - 4}}\\
c)P = A.B = \frac{{x - 4}}{{x + 5}}.\frac{3}{{x - 4}}(x \ne \pm 4;x \ne - 5)\\
= \frac{3}{{x + 5}}\\
de:P \in Z = > \frac{3}{{x + 5}} \in Z\\
= > x + 5 \in U(3) = \{ - 3; - 1;1;3\} \\
= > x \in \{ - 8; - 6; - 4; - 2\} \\
Ma:x \ne \pm 4;x \ne - 5\\
= > x \in \{ - 8; - 6; - 2\} thiP \in Z
\end{array}\]
A=x−4x+5B=2x+4+x+20x2−16(x≠±4;x≠−5)a)voi:x=−3(tm)=>A=(−3)−4(−3)+5=−72b)B=2x+4+x+20x2−16(x≠±4;x≠−5)=2x+4+x+20(x−4)(x+4)=2(x−4)+x+20(x−4)(x+4)=2x−8+x+20(x−4)(x+4)=3x+12(x−4)(x+4)=3(x+4)(x−4)(x+4)=3x−4c)P=A.B=x−4x+5.3x−4(x≠±4;x≠−5)=3x+5de:P∈Z=>3x+5∈Z=>x+5∈U(3)={−3;−1;1;3}=>x∈{−8;−6;−4;−2}Ma:x≠±4;x≠−5=>x∈{−8;−6;−2}thiP∈Z
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