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二項定理② 1-4

Authored by 合阪耕一 合阪耕一

Mathematics

1st Grade

Used 4+ times

二項定理② 1-4
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5 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

次の式を展開せよ。

(x+y)4\left(x+y\right)^4

x4+4x3y+8x2y2x^4+4x^3y+8x^2y^2

+4xy3+y4+4xy^3+y^4

x4+4x3y+6x2y2x^4+4x^3y+6x^2y^2

+2xy3+y4+2xy^3+y^4

x4+4x3y+6x2y2x^4+4x^3y+6x^2y^2

+4xy3+y4+4xy^3+y^4

x4+2x3y+6x2y2x^4+2x^3y+6x^2y^2

+4xy3+y4+4xy^3+y^4

x4+4x3y+6x2y2x^4+4x^3y+6x^2y^2

+4xy3+4y4+4xy^3+4y^4

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

次の式を因数分解せよ。

8x3+278x^3+27

(2x+3)(4x2+6x+9)\left(2x+3\right)\left(4x^2+6x+9\right)

(2x+3)(4x2−6x+9)\left(2x+3\right)\left(4x^2-6x+9\right)

(2x+3)(4x2−12x+9)\left(2x+3\right)\left(4x^2-12x+9\right)

(2x+3)(4x2−4x+9)\left(2x+3\right)\left(4x^2-4x+9\right)

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

次の式の展開式において、[  ]内に

指定された項の係数を求めよ。

(x+3)4\left(x+3\right)^4 [ x2x^2 ]

50

52

54

56

58

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

次の式の展開式において、[  ]内に

指定された項の係数を求めよ。

(2x−3y)7\left(2x-3y\right)^7 [ x5y2x^5y^2 ]

6024

6048

6056

6072

6096

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

次の式の展開式において、[  ]内に

指定された項の係数を求めよ。

(a+b+c)8\left(a+b+c\right)^8 [ a2b2c4a^2b^2c^4 ]

360

400

420

450

540

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