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shkate2004
@shkate2004
July 2022
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Подать в виде многочлена:
1). (y-1)(y^2+y+1)
2). (4x^2+1)(16x^4-4x^2+1)
3). a^2+12-(a^2-4a+16)(a+4)
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Санечка69
Verified answer
Известны формулы:
а³ + b³ = (a + b)(a² - ab + b²)
а³ - b³ = (a - b)(a² + ab +
b²)
Воспользовавшись ими, получим:
1) (y - 1)(y
²
+ y + 1) = у
³ - 1
2) (4x
²
+ 1)(16x
⁴
- 4x
²
+ 1) = (4х
²)³ + 1³ = 64х⁶ + 1
3) a
²
+ 12 - (a
²
- 4a + 16)(a + 4) = а
² + 12 - (а³ + 64) = а³ + 12 - а³ - 64 = -52
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Answers & Comments
Verified answer
Известны формулы:а³ + b³ = (a + b)(a² - ab + b²)
а³ - b³ = (a - b)(a² + ab + b²)
Воспользовавшись ими, получим:
1) (y - 1)(y² + y + 1) = у³ - 1
2) (4x² + 1)(16x⁴- 4x² + 1) = (4х²)³ + 1³ = 64х⁶ + 1
3) a² + 12 - (a² - 4a + 16)(a + 4) = а² + 12 - (а³ + 64) = а³ + 12 - а³ - 64 = -52