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QUMU
math
2020.6
[ 1 ]
負の数が奇数個の場合→−
偶数個の場合→＋
3a(2a-5b+4)
2
Q
=6a
-15ab
+12a
負の数が奇数個の場合→−
偶数個の場合→＋
2
(9x+3x)÷3x
Q
=3x
+1
(a+b)(x+y)
=ax+ay+bx+by
Q
(3x-y)(2x+7y)
2
-2xy
+21xy
-7y
=6x
2
=6x
+19xy
-7y
=ax+ay+bx+by
(a+b)(x+y)
2
(x-4)(x+4x-5)
Q
2
3
2
=x
+4x
-5x
-4x
-16x
+20
3
=x
-21x
+20
2
(x+a)(x+b)
=x+(a+b)x+ab
(x+7)(x-11)
2
Q
-77
=x
-4x
2
(x+a)(x+b)
=x+(a+b)x+ab
(4a-1)(4a-5)
2
Q
=16a
-24a
+5
2
(x+y)
=x+2xy+y
2
(m+5)
2
Q
=m
+10m
+25
2
2
(x+y)
=x+2xy+y
2
(3x-4)
2
Q
=9x
-24x
+16
2
(x+y)(x-y)
= x - y
和と差の積は２乗−２乗
(9a+2b)(9a-2b)
Q
2
=81a
-4b
2
(x+4)-(x+3)(x-1)
2
-(x+2x-3)
=x+8x+16
Q
2
=x+8x+16
-x-2x+3
=6x+19
(2x+y)(2x-y)+4x(y-x)
2
=4x-y
+4xy-4x
Q
2
=-y +4xy
共通因数でくくる
2
25a-5a
Q
(5a-1)
=5a
2
x+(a+b)x+ab
=(x+a)(x+b)
2
x-9x-10
Q
=(x+1)(x-10)
2
x+(a+b)x+ab
=(x+a)(x+b)
2
x+8xy+7y
Q
=(x+y)(x+7y)
2
x+2xy+y
=(x+y)
2
a+6a+9
Q
2
=(a+3)
2
x+2xy+y
=(x+y)
2
49x-14x+1
Q
2
=(7x-1)
2
=(x+y)(x-y)
x-y
2
a-36b
Q
=(a+6b)(a-6b)
2020.6
[ 2 ]
2
3x+6x-24
2
=3(x+2x-8)
Q
=3(x+4)(x-2)
2
ab-8ab+12a
2
=a(b-8b+12)
Q
=a(b-2)(b-6)
2
2ax-4ax+2a
2
=2a(x-2x+1)
Q
2
=2a(x-1)
2
8a-18
2
=2(4a-9)
Q
=2(2a+3)(2a-3)
x(x+4)-21
2
=x+4x-21
Q
=(x+7)(x-3)
2
(x-4)-2x
2
=x-8x+16-2x
Q
2
=x-10x+16
=(x-2)(x-8)
2
)
40
)
20
2
)
10
Q
5
3
2×5
3
)
45
3
)
15
5
Q
5
2
36=6
2
36=(2x3)
2
36=2 x 3
2
=(x+y)(x-y)
x-y
2
54-46
Q
=(54+46)(54-46)
=100×8
=800
2
(x-6)(x+5)-(x-1)
2
-(x-2x+1)
=x-x-30
2
=x-x-30
- x+2x-1
Q
=x-31
x=-18
を代入して
-18-31
=-49
2
x+2xy+y
=(x+y)
2
a-2ab+b
2
=(a-b)
Q
を代入して
a=47,b=17
2
= 30
(47-17)
=900
acm
5cm
2
-25π
=π(5+a)
Q
2
=π{ (5+a)-25 }
2
=π{25+10a+a-25 }
2
=π{10a+a }
2
πa +10πa
( cm )
連続した２つの整数を
n,n+1
とする。
2
n +(n+1) -1
2
=n +n +2n+1-1
2
=2n(n+1)
=2n +2n
2
(2)(n+1)
(1)n+1
2
(3)2n +2n
2020 05
start
2020.5
2つの数の乗法
同符号の場合→＋
異符号の場合→−
(-3)×(-9)
(+6)×(+7)
1
42
27
(+8)×(-2)
(-5)×(+1)
-5
-16
Topic
2つの数の乗法
同符号の場合→＋
異符号の場合→−
(+4)×(-1)
0×(-6)
0
-4
3
(-0.9)×2
(-0.9)×(-0.5)
7
6
-
0.45
7
3つの数の乗法
負の数が奇数個の場合→−
偶数個の場合→＋
3×(-6)×2
2
-36
=-
=-6×6
3×2×6
2×(-7)×(-5)
=+
=+7×2×5
=7×10
70
Topic
3つの数の乗法
負の数が奇数個の場合→−
偶数個の場合→＋
(-9)×7×(-25)×(-4)
=-63×100
-6300
3×(-6)×(-3)×15
=+3×3×6×15
=9×90
810
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