数学Ⅱ　二項定理③

Authored by 渡辺崇

Mathematics

11th - 12th Grade

Used 2+ times

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6 questions

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MULTIPLE CHOICE QUESTION

1 min • 1 pt

$\left(4x-y\right)^6$ の展開式における $x^2y^4$ の項の係数を求めよ。

240

120

MULTIPLE CHOICE QUESTION

1 min • 1 pt

$\left(x^2-\frac{2}{x}\right)^6$ の展開式において、 $x^3$ の項の係数を求めよ。

-20

-40

-80

-160

FILL IN THE BLANKS QUESTION

1 min • 1 pt

$\left(a+2b-3c\right)^7$ の展開式における $a^3b^2c^2$ の係数を求めよ。

(a)

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

$\left(x^3+x+1\right)^7$ の展開式における $x^8$ の項の係数を求めよ。

210

252

126

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

$27x^3+8y^3$ を因数分解せよ。

$\left(3x+2y\right)\left(9x^2-6xy+4y^2\right)$

$\left(3x+2y\right)\left(9x^2+6xy+4y^2\right)$

$\left(3x+2y\right)\left(9x^2-12xy+4y^2\right)$

$\left(3x+2y\right)\left(9x^2+12xy+4y^2\right)$

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

$\left(x-2y\right)^3$ を展開せよ。

$x^3+6x^2y+12xy^2+8y^3$

$x^3-6x^2y-12xy^2+y^3$

$x^3+6x^2y-12xy^2-8y^3$

$x^3-6x^2y+12xy^2-8y^3$

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数学Ⅱ 二項定理③

(4x−y)6\left(4x-y\right)^6(4x−y)6 の展開式における x2y4x^2y^4x2y4 の項の係数を求めよ。

(x2−2x)6\left(x^2-\frac{2}{x}\right)^6(x2−x2​)6 の展開式において、 x3x^3x3 の項の係数を求めよ。

(a+2b−3c)7\left(a+2b-3c\right)^7(a+2b−3c)7 の展開式における a3b2c2a^3b^2c^2a3b2c2 の係数を求めよ。 (a)

(x3+x+1)7\left(x^3+x+1\right)^7(x3+x+1)7 の展開式における x8x^8x8 の項の係数を求めよ。

27x3+8y327x^3+8y^327x3+8y3 を因数分解せよ。

(x−2y)3\left(x-2y\right)^3(x−2y)3 を展開せよ。

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数学Ⅱ　二項定理③

$\left(4x-y\right)^6$ の展開式における $x^2y^4$ の項の係数を求めよ。

$\left(x^2-\frac{2}{x}\right)^6$ の展開式において、 $x^3$ の項の係数を求めよ。

$\left(a+2b-3c\right)^7$ の展開式における $a^3b^2c^2$ の係数を求めよ。

(a)

$\left(x^3+x+1\right)^7$ の展開式における $x^8$ の項の係数を求めよ。

$27x^3+8y^3$ を因数分解せよ。

$\left(x-2y\right)^3$ を展開せよ。