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1. (a+b)(2a+b)+(3a+2b)(a+b)-(a+b)(a+4b)=
2a^2+ab+2ab+b^2+(3a^2+3ab+2ab+2b^2)-.
(a^2+4ab+ab+4b^2)
=2a^2+ab+2ab+b^2+3a^2+3ab+2ab+2b^2-
a^2-4ab-ab-4b^2
=2a^2+3a^2-a^2+ab+2ab+3ab+2ab-4ab-ab
+b^2+2b^2-4b^2
= 4a^2+3ab-b^2=(a+b)(4a-b)
= 4a^2+3ab-b^2=4a^2-ab+4ab-b^2
= 4a^2+3ab-b^2=4a^2+3ab-b^2
2.5xy^2-5y^2-3a+3ax
5y^2(x-1)+3a(-1+x)
5y^2(x-1)+3a(x-1)
(x-1)5y^2+3a
3.ax-x^2-bx+ab
x(a-x)+b(-x+a)
x(a-x)+b(a-x)
(a-x)(x+b)
2a^2+ab+2ab+b^2+(3a^2+3ab+2ab+2b^2)-.
(a^2+4ab+ab+4b^2)
=2a^2+ab+2ab+b^2+3a^2+3ab+2ab+2b^2-
a^2-4ab-ab-4b^2
=2a^2+3a^2-a^2+ab+2ab+3ab+2ab-4ab-ab
+b^2+2b^2-4b^2
= 4a^2+3ab-b^2=(a+b)(4a-b)
= 4a^2+3ab-b^2=4a^2-ab+4ab-b^2
= 4a^2+3ab-b^2=4a^2+3ab-b^2
2.5xy^2-5y^2-3a+3ax
5y^2(x-1)+3a(-1+x)
5y^2(x-1)+3a(x-1)
(x-1)5y^2+3a
3.ax-x^2-bx+ab
x(a-x)+b(-x+a)
x(a-x)+b(a-x)
(a-x)(x+b)
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