Разложите многочлены на множители:5[tex] z^{2} [/tex] - 80[tex] k^{2} [/tex] + 125xy - [tex] y^{2} [/tex] +2x - 2y. Created by Марина1515. algebra-ru

tex] +2x - 2y...

Марина1515 @Марина1515

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Разложите многочлены на множители:
5[tex] z^{2} [/tex] - 80
[tex] k^{2} [/tex] + 125
xy - [tex] y^{2} [/tex] +2x - 2y

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Artem112

Verified answer

$5 z^2 - 80=5(z^2-16)=5(z-4)(z+4)
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k^2 + 125=k^2 - (5 \sqrt{5} i)^2=(k-5 \sqrt{5}i)(k+5 \sqrt{5}i )
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xy - y^2 +2x - 2y=y(x - y) +2(x - y)=(x-y)(y+2)$

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