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polinaporayko
@polinaporayko
September 2021
1
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Представте выражения в виде многочленов:
а) (9a - b)(81a² + 9ab + b²)
б) (3² + 1)(9a⁴ - 6a² + 1)
в) (3a + 1)(9a² - 6a + 1)
г) (3a² + 1)(3a - 1)
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123456654321
) (9a - b)(81a² + 9ab + b²) =729a^3-b^3
б) (3² + 1)(9a⁴ - 6a² + 1)=(9 + 1)(9a⁴ - 6a² + 1)=10(9a⁴ - 6a² + 1)=90a⁴ - 60a² + 10
в) (3a + 1)(9a² - 6a + 1) =(3a + 1)(3a - 1)^2 =(9a ^2- 1)(3a - 1)
=27a^3-9a^2-3a+1
г) (3a² + 1)(3a - 1)=9a^3-3a^2+3a-1
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Answers & Comments
б) (3² + 1)(9a⁴ - 6a² + 1)=(9 + 1)(9a⁴ - 6a² + 1)=10(9a⁴ - 6a² + 1)=90a⁴ - 60a² + 10
в) (3a + 1)(9a² - 6a + 1) =(3a + 1)(3a - 1)^2 =(9a ^2- 1)(3a - 1) =27a^3-9a^2-3a+1
г) (3a² + 1)(3a - 1)=9a^3-3a^2+3a-1