Сума і різниця кубів
Quiz
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Mathematics
•
Professional Development
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Practice Problem
•
Hard
Роман Устінов
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8 questions
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1.
MULTIPLE CHOICE QUESTION
45 sec • 1 pt
Оберіть правильний варіант
a^3 – b^3 = (a – b)(a^2 + 2ab + b^2)
a^3 – b^3 = (a – b)(a^2 - 2ab + b^2)
a^3 – b^3 = (a – b)(a^2 + ab + b^2)
a^3 – b^3 = (a – b)(a^2 - ab + b^2)
2.
MULTIPLE CHOICE QUESTION
45 sec • 1 pt
Розкладіть вираз на множники
x^3 + 8
(x + 2)(x^2 + 4x + 64)
(x + 2)(x^2 + 8x + 4)
(x + 2)(x^2 – 2x + 16)
(x + 2)(x^2 – 2x + 4)
3.
MULTIPLE CHOICE QUESTION
45 sec • 1 pt
Розкладіть вираз на множники
0,125 – x^3
(0,5 – x)(0,25 + 0,5x + x^2)
(0,5 – x)(0,25 + x + x^2)
(0,5 + x)(0,25 – 0,5x + x^2)
(0,5 + x)(0,25 – x + x^2)
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Розкладіть вираз на множники
x^3 + 64y^3
(x + 4y)(x^2 – 4x + 16y^2)
(x – 4y)(x^2 + 4xy + 16y^2)
(x + 4y)(x^2 – 4xy + 16y^2)
(x + 4y)(x^2 – 8xy + 16y^2)
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Розкладіть вираз на множники
0,027a^3 – 125y^3
(0,3a – 5y)(0,09a^2 + 1,5ay + 25y^2)
(0,3a – 5y)(0,9a^2 + 3ay + 25y^2)
(0,3a – 5y)(0,9a^2 + 0,15ay + 25y^2)
(0,3a – 5y)(0,09a^2 – 1,5ay + 25y^2)
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Розкладіть вираз на множники
1000x^3 – 1
(10x – 1)(100x^2 + 10x + 1)
(10x – 1)(100x^2 + 20x + 1)
(10x – 1)(100x^2 – 10x + 1)
(10x – 1)(10x^2 + 10x + 1)
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Розкладіть вираз на множники
8.
MULTIPLE CHOICE QUESTION
45 sec • 1 pt
Оберіть правильний варіант
a^3 + b^3 = (a + b)(a^2 – ab + b^2)
a^3 + b^3 = (a + b)(a^2 – 2ab + b^2)
a^3 + b^3 = (a + b)(a^2 + ab + b^2)
a^3 + b^3 = (a + b)(a^2 + 2ab + b^2)
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