Question

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Answer 1

Respuesta:

1)

$xm+ym+xn+yn\\m(x+y)+n(x+y)\\(x+y)(m+n)$

2)

$x^2+xy+ax+ay\\x^2+(y+a)x+ay\\(x+a)(x+y)$

3)

$a^2+ab+ax+bx\\a^2+(b+x)a+bx\\(a+b)(a+x)$

4)

$am-bm+an-bn\\(a-b)m+(a-b)n\\(a-b)(m+n)$

5)

$ax-2bx-2ay+4by\\(x-2y)a-(x-2y)2b\\(x-2y)(a-2b)$

6)

$a^2x^2-3bx^2+a^2y^2-3by^2\\(x^2+y^2)a^2-3b(x^2+y^2)\\(x^2+y^2)(a^2-3b)$

7)

$3m-2n-2nx^4+3mx^4\\(1+x^4)-2n(1+x^4)\\(1+x^4)(1-2n)$

8)

$x^2-a^2+x-a^2x\\(x+1)x-(x+a)a^2\\(x+1)(x-a^2)$

9)

$2ax-3bx+2ay-3by\\(x+y)2a-(x+y)3b\\(x+y)(2a-3b)$

10)

$2am+2ap-3bm-3bp\\(m+p)2a-(m+p)3b\\(m+p)(2a-3b)$

11)

$6am-3bm-6an+3bn\\(n-m)3b-(n-m)6a\\(n-m)(3b-6a)$

12)

$2y^4-y^3+4y-2\\(2y-1)y^3+(2y-1)2\\(2y-1)(y^3+2)$

13)

$p^3q^3-p^2q^2-pq+1\\(pq-1)p^2q^2-(pq-1)\\(pq-1)(p^2q^2-1)$

14)

$x^2+mxy-4xy-4my^2\\(x-4y)x+(x-4y)my\\(x-4y)(x+my)$