Question

Ajuda pfvr , fatoração de termos!!!!

Answer 1

$a) \ x^8 - 1\\\\ = (x^4 + 1) \cdot (x^4 - 1)\\\\= (x^4 + 1) \cdot [(x^4 + 1) \cdot (x^2 - 1)]\\\\= (x^4 + 1) \cdot (x^2 + 1) \cdot (x^2 - 1) \\ \\ = (x^4 + 1) \cdot (x^2 + 1) \cdot [(x + 1) \cdot(x - 1)]\\\\ = (x^4 + 1) \cdot (x^2 + 1) \cdot (x + 1) \cdot (x - 1)$

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$y^4-x^4+y^2+x^2\\\\=(y^4-x^4)+(y^2+x^2)\\\\=(y^2+x^2)\cdot(y^2-x^2)+(y^2+x^2)\\\\=(y^2+x^2)\cdot[(y^2-x^2)+1]\\\\=(y^2+x^2)\cdot(y^2-x^2+1)$

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m + n = 8 e m - n = - 2

a) 10 m² - 10n²

= 10 · (m² - n²)

= 10 · (m + n) · (m - n)

= 10 · 8 · (-2)

= -160

b) 6 (m + n) + 3 (m² - n²)

= 6 · (m + n) + 3 · (m + n) · (m - n)

= 6 · 8 + 3 · 9 · (-2)

= 48 - 54

= -6