Get the answer to "4x2−3x+2;xx2−4"

xcl3411

Answered question

2021-11-20

\frac{4}{x^{2} - 3 x + 2}; \frac{x}{x^{2} - 4}

Louis Smith

Beginner2021-11-21Added 14 answers

Step 1
Denominators are

x^{2} - 3 x + 2 and x^{2} - 4

.
Step 2
We have to factor the denominators.

x^{2} - 3 x + 2

= x^{2} - 2 x - 1 x + 2

= x (x - 2) - 1 (x - 2)

= x (x - 2) (x - 1)

x^{2} - 4

= x^{2} - 2^{2}

= (x + 2) (x - 2)

Step 3
We then find the LCM of

(x - 2) (x - 1) and (x + 2) (x - 2)

L C M = (x + 2) (x - 2) (x - 1)

Answer:

(x + 2) (x - 2) (x - 1)

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