Skróc i podaj założenia.
1.
[ (x - √2)(x + √2)]² (x² - 2)² 1
..... = ----------------------- = ---------------- = --------
x(x⁴ - 4x² + 4) x(x² - 2)² x
zał. x ≠ 0 i x ≠ √2 i x ≠ -√2
2.
(x - 1)(x² - 4x + 4) (x - 1)(x - 2)² x - 2
... = ------- -------------------- = ---------------------- = ------------------
(x - 2)(x² - 1) (x - 2)(x - 1)(x +1) x + 1
zał x ≠ 2 i x ≠ - 1 i x ≠ 1
3.
[(x + 3) - 1]² (x + 2)²
..... = ------------------= ------------- = 1
[(x +1) + 1]² (x + 2)²
zał. x ≠ - 2
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1.
[ (x - √2)(x + √2)]² (x² - 2)² 1
..... = ----------------------- = ---------------- = --------
x(x⁴ - 4x² + 4) x(x² - 2)² x
zał. x ≠ 0 i x ≠ √2 i x ≠ -√2
2.
(x - 1)(x² - 4x + 4) (x - 1)(x - 2)² x - 2
... = ------- -------------------- = ---------------------- = ------------------
(x - 2)(x² - 1) (x - 2)(x - 1)(x +1) x + 1
zał x ≠ 2 i x ≠ - 1 i x ≠ 1
3.
[(x + 3) - 1]² (x + 2)²
..... = ------------------= ------------- = 1
[(x +1) + 1]² (x + 2)²
zał. x ≠ - 2