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FACTORIZACIÓN TCP DIF DE CUAD

Total questions: 10

Worksheet time: 9mins

Name
Class
Date
1.

 125y2+2yxa+1+25x2a+2\frac{1}{25}y^2+2yx^{a+1}+25x^{2a+2}  

a)

 (15x+5ya+1)2\left(\frac{1}{5}x+5y^{a+1}\right)^2  

b)

 (15y+5ya+1)2\left(\frac{1}{5}y+5y^{a+1}\right)^2  

c)

 (15y+5xa+1)2\left(\frac{1}{5}y+5x^{a+1}\right)^2  

2.

 x2−4x+4x^2-4x+4  

a)

 (x+2)2\left(x+2\right)^2  

b)

 (2+x)2\left(2+x\right)^2  

c)

 (2−x)2\left(2-x\right)^2  

3.

 a10−2a5b7+b14a^{10}-2a^5b^7+b^{14}  

a)

 (a5+b7)2\left(a^5+b^7\right)^2  

b)

 (a5−b7)2\left(a^5-b^7\right)^2  

c)

 (b7+a5)2\left(b^7+a^5\right)^2  

4.

 9x2−6x+19x^2-6x+1  

a)

 (3x−1)2\left(3x-1\right)^2  

b)

 (3x+1)2\left(3x+1\right)^2  

c)

 (1+3x)2\left(1+3x\right)^2  

5.

 64x2−49y264x^2-49y^2  

a)

 (7y+8x)(7y+8x)\left(7y+8x\right)\left(7y+8x\right)  

b)

 (8x−7y)(8x−7y)\left(8x-7y\right)\left(8x-7y\right)  

c)

 (8x+7y)(8x−7y)\left(8x+7y\right)\left(8x-7y\right)  

6.

 36x2−25y236x^2-25y^2  

a)

 (5y+6x)(5y+6x)\left(5y+6x\right)\left(5y+6x\right)  

b)

 (6x−5y)(6x+5y)\left(6x-5y\right)\left(6x+5y\right)  

c)

 (6x+5y)(6x+5y)\left(6x+5y\right)\left(6x+5y\right)  

7.

 9x2−19x^2-1  

a)

 (1+3x)(1−3x)\left(1+3x\right)\left(1-3x\right)  

b)

 (−1−3x)(1−3x)\left(-1-3x\right)\left(1-3x\right)  

c)

 (3x−1)(3x−1)\left(3x-1\right)\left(3x-1\right)  

8.

 16x2−2516x^2-25  

a)

 (5+4x)(5−4x)\left(5+4x\right)\left(5-4x\right)  

b)

 (−5−4x)(5−4x)\left(-5-4x\right)\left(5-4x\right)  

c)

 (4x−5)(4x−5)\left(4x-5\right)\left(4x-5\right)  

9.

 136x6a+4−14y8a+10\frac{1}{36}x^{6a+4}-\frac{1}{4}y^{8a+10}  

a)

 (16x3a+2+12y4a+5)(16x3a+2−12y4a+5)\left(\frac{1}{6}x^{3a+2}+\frac{1}{2}y^{4a+5}\right)\left(\frac{1}{6}x^{3a+2}-\frac{1}{2}y^{4a+5}\right)  

b)

 (16x3a+2−12y4a+5)(16x3a+2−12y4a+5)\left(\frac{1}{6}x^{3a+2}-\frac{1}{2}y^{4a+5}\right)\left(\frac{1}{6}x^{3a+2}-\frac{1}{2}y^{4a+5}\right)  

c)

 (16x3a+2+12y4a+5)(−16x3a+2−12y4a+5)\left(\frac{1}{6}x^{3a+2}+\frac{1}{2}y^{4a+5}\right)\left(-\frac{1}{6}x^{3a+2}-\frac{1}{2}y^{4a+5}\right)  

10.

 164x6a+4−149y8a+10\frac{1}{64}x^{6a+4}-\frac{1}{49}y^{8a+10}  

a)

 (18x3a+2+17y4a+5)(18x3a+2−17y4a+5)\left(\frac{1}{8}x^{3a+2}+\frac{1}{7}y^{4a+5}\right)\left(\frac{1}{8}x^{3a+2}-\frac{1}{7}y^{4a+5}\right)  

b)

 (18x3a+2−17y4a+5)(18x3a+2−17y4a+5)\left(\frac{1}{8}x^{3a+2}-\frac{1}{7}y^{4a+5}\right)\left(\frac{1}{8}x^{3a+2}-\frac{1}{7}y^{4a+5}\right)  

c)

 (18x3a+2+17y4a+5)(−18x3a+2−17y4a+5)\left(\frac{1}{8}x^{3a+2}+\frac{1}{7}y^{4a+5}\right)\left(-\frac{1}{8}x^{3a+2}-\frac{1}{7}y^{4a+5}\right)