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多項式的乘法

Total questions: 20

Worksheet time: 19mins

Name
Class
Date
1.

配對

a)

x2x3=?x^2\cdot x^3=?  

1.

x5x^5  

b)

2x3x=?2x\cdot3x=?  

2.

6x26x^2  

c)

2x2(3x2)=?2x^2\cdot\left(-3x^2\right)=?  

3.

6x4-6x^4  

d)

3x(2x3)=?3x\left(2x^3\right)=?  

4.

6x46x^4  

2.

配對

a)

x(x+1)=?x\left(x+1\right)=?  

1.

x2+xx^2+x  

b)

x(2x)=?x\cdot\left(2x\right)=?  

2.

2x22x^2  

c)

x2(x1)=?x^2\left(x-1\right)=?  

3.

x3x2x^3-x^2  

d)

(x21)x\left(x^2-1\right)\cdot x  

4.

x3xx^3-x  

3.

配對

a)

(x+1)2=?\left(x+1\right)^2=?  

1.

x2+2x+1x^2+2x+1  

b)

(x1)2=?\left(x-1\right)^2=?  

2.

x22x+1x^2-2x+1  

c)

(x+1)(x1)=?\left(x+1\right)\left(x-1\right)=?  

3.

x21x^2-1  

4.

配對

a)

(x+2)2=?\left(x+2\right)^2=?  

1.

x2+4x+4x^2+4x+4  

b)

(x2)2=?\left(x-2\right)^2=?  

2.

x24x+4x^2-4x+4  

c)

(x+2)(x2)=?\left(x+2\right)\left(x-2\right)=?  

3.

x24x^2-4  

5.

配對

a)

(x+4)2=?\left(x+4\right)^2=?  

1.

x2+8x+16x^2+8x+16  

b)

(x+8)2=?\left(x+8\right)^2=?   

2.

x2+16x+64x^2+16x+64  

c)

(x+6)2=?\left(x+6\right)^2=?   

3.

x2+12x+36x^2+12x+36   

6.

配對

a)

(x3)2=?\left(x-3\right)^2=?  

1.

x26x+9x^2-6x+9  

b)

(x5)2=?\left(x-5\right)^2=?  

2.

x210x+25x^2-10x+25  

c)

(x7)2=?\left(x-7\right)^2=?  

3.

x214x+49x^2-14x+49  

7.

配對

a)

(x+3)(x3)=?\left(x+3\right)\left(x-3\right)=?  

1.

x29x^2-9  

b)

(x4)(x+4)=?\left(x-4\right)\left(x+4\right)=?  

2.

x216x^2-16  

c)

(x6)(x+6)=?\left(x-6\right)\left(x+6\right)=?  

3.

x236x^2-36  

8.

展開 (x+3)2=?\left(x+3\right)^2=?  

a)

x2+6x+9x^2+6x+9  

b)

x2+9x^2+9  

c)

9x29x^2  

d)

x2+6x+6x^2+6x+6  

9.

展開 (2x+1)2=?\left(2x+1\right)^2=?  

a)

4x2+4x+14x^2+4x+1  

b)

2x2+4x+12x^2+4x+1  

c)

4x2+14x^2+1  

d)

2x2+12x^2+1  

10.

展開 (4x1)2=?\left(4x-1\right)^2=?  

a)

16x28x+116x^2-8x+1  

b)

8x28x+18x^2-8x+1  

c)

4x214x^2-1  

d)

8x218x^2-1  

11.

展開 (x6)2=?\left(x-6\right)^2=?  

a)

x212x+36x^2-12x+36  

b)

x212x36x^2-12x-36  

c)

x236x^2-36  

d)

x212x^2-12  

12.

(x+4)(x4)=?\left(x+4\right)\left(x-4\right)=?  

a)

x216x^2-16  

b)

x28x^2-8  

c)

x28x+16x^2-8x+16  

d)

x2+8x16x^2+8x-16  

13.

(3x1)(3x+1)=?\left(3x-1\right)\left(3x+1\right)=?  

a)

9x219x^2-1  

b)

3x213x^2-1  

c)

6x226x^2-2  

d)

9x26x+19x^2-6x+1  

14.

(2x+3)2=?\left(2x+3\right)^2=?  

a)

4x2+12x+94x^2+12x+9  

b)

4x2+94x^2+9  

c)

8x2+68x^2+6  

d)

5x25x^2  

15.

(3x5)2=?\left(3x-5\right)^2=?  

a)

9x230x+259x^2-30x+25  

b)

9x2259x^2-25  

c)

3x215x+103x^2-15x+10  

d)

9x230x259x^2-30x-25  

16.

(4x+3)(4x3)=?\left(4x+3\right)\left(4x-3\right)=?  

a)

16x2916x^2-9  

b)

4x294x^2-9  

c)

8x268x^2-6  

d)

4x212x94x^2-12x-9  

17.

(x+1)(2x3)=?\left(x+1\right)\left(2x-3\right)=?  

a)

2x23x+2x32x^2-3x+2x-3  

b)

2x232x^2-3  

c)

2x2+3x2x32x^2+3x-2x-3  

d)

2x(x)2x\cdot\left(-x\right)  

18.

(3x2)(2x1)=?\left(3x-2\right)\left(2x-1\right)=?  

a)

6x23x4x+26x^2-3x-4x+2  

b)

5x23x+4x25x^2-3x+4x-2  

c)

6x2+26x^2+2  

d)

xxx\cdot x  

19.

(x+2)(2x+1)=?\left(x+2\right)\left(2x+1\right)=?  

a)

2x2+x+4x+22x^2+x+4x+2  

b)

2x2+22x^2+2  

c)

(2x)(3x)\left(2x\right)\cdot\left(3x\right)  

d)

4x+x4x+x  

20.

(x3)(x4)=?\left(x-3\right)\left(x-4\right)=?  

a)

x24x3x+12x^2-4x-3x+12  

b)

x24x3x12x^2-4x-3x-12  

c)

x2+12x^2+12  

d)

(3x)(4x)\left(-3x\right)\left(-4x\right)