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Решите задачу:

$2a + b + 2a^2 + ab = (2a + 2a^2) + (b+ab) = 2a (a + 1) + b(a+1) =$
$(a+1) (2a + b)$

$3a + 3a^2 - b -ab = 3a (1 + a) - b(1+a) = (1+ a)(3a-b)$

$2x^2 -3x + 4ax - 6 a = 2x(x+2a) -3(x+2a) = (x+2a)(2x-3)$

$x^2 y^2 +xy +axy + a = xy(xy+1) + a(xy+1) = (xy+1)(xy+a)$

$ab +ac +am +yb +yc +ym = a(b+c+m )+y(b+c+m) =$
$= (b+c+m)(a+y)$

$xy - x^2y^2 +x^3y^3 -a +axy - ax^2y^2 =$
$=(xy -a) +(x^3y^3 -ax^2y^2) - (x^2y^2 - axy) =$
$(xy -a) + x^2y^2 (xy-a) - xy (xy-a) = (xy-a)(1 +x^2y^2 - xy)$

$b^{n+1} +b^n + b+1 = b^n(b+1) +(b+1) = (b+1)(b^n + 1)$

$a^{m+2} -1 - a + a^{m+1} = a^{m+1} (a+1) - (a+1) = (a+1)(a^{m+1}-1)$

$ax + bx + ac+bc = x(a+b) +c(a+b) = (a+b)(x+c)$

$4a + by + ay + 4b = 4(a+b) + y(b+a) = (a+b)(4+y)$

$px + py -5x -5y = p(x+y) -5(x+y) = (x+y)(p-5)$

$3a -3c +xa -xc = 3(a-c) + x(a-c) = (a-c)(x+3)$

$6x + 7y + 42 + xy = (6x +xy) + (7y+42) = x(6+y) + 7(y+6)=$
$= (y+6)(x+7)$

$ab-ac -4b+4c = a(b-c) -4(b-c) = (b-c)(a-4)$

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