Odpowiedź:
Szczegółowe wyjaśnienie:
a)
[tex]9-x^{4}=3^{2}-(x^{2} )^{2}=(3-x^{2} ) (3+x^{2} )=(\sqrt{3}-x )(\sqrt{3} +x)(3+x^{2} )[/tex]
b)
2x² - 16x + 32 = 2(x² - 8x + 16) = 2 (x - 4)²
c)
25 - 4(x - y)² = 5² - (2(x - y))² = (5 - 2(x - y)) (5 + 2(x - y))
= (5 - 2x + 2y) (5 + 2x - 2y)
d)
(2x - 1) - y (1 - 2x) = (2x - 1) + y(2x - 1) = (2x - 1) (1 + y)
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Odpowiedź:
Szczegółowe wyjaśnienie:
a)
[tex]9-x^{4}=3^{2}-(x^{2} )^{2}=(3-x^{2} ) (3+x^{2} )=(\sqrt{3}-x )(\sqrt{3} +x)(3+x^{2} )[/tex]
b)
2x² - 16x + 32 = 2(x² - 8x + 16) = 2 (x - 4)²
c)
25 - 4(x - y)² = 5² - (2(x - y))² = (5 - 2(x - y)) (5 + 2(x - y))
= (5 - 2x + 2y) (5 + 2x - 2y)
d)
(2x - 1) - y (1 - 2x) = (2x - 1) + y(2x - 1) = (2x - 1) (1 + y)