1) 2x+3xy=x (2+3y)
2) 14m n^2-7n= 7n (2mn-1)
3)a^4+a^3=a^3 (a+1)
4) x y^3+5x^2 y^2-3x^2 y=xy (y^2+5xy-3x)
5) y (2a+3b)-y(3a-b)=y (2a+3b-3a+b)=y (4b-a)
6) a (b-c)+c (c-b)=a (b-c)-c (b-c)=(b-c)(a-c)
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Answers & Comments
1) 2x+3xy=x (2+3y)
2) 14m n^2-7n= 7n (2mn-1)
3)a^4+a^3=a^3 (a+1)
4) x y^3+5x^2 y^2-3x^2 y=xy (y^2+5xy-3x)
5) y (2a+3b)-y(3a-b)=y (2a+3b-3a+b)=y (4b-a)
6) a (b-c)+c (c-b)=a (b-c)-c (b-c)=(b-c)(a-c)