1.1) 14xy²z =
7*2xy²z =
2z 21x³y⁶ 7*3x³y⁶ 3x²y⁴2)
a(25-c²) =
-a(c-5)(c+5) =
-a(c+5) =
-ac-5a b(c-5) b(c-5) b b3)
2b+18 =
2 (b+9) =
2 b²+18b+81 (b+9)² b+94)
4-y² =
-(y-2)(y+2) =
-(y+2) =
y+2 y²-4y+4 (y-2)² y-2 2-y2.1)
a²+3 -
3-a =
3(a²+3) - a²(3-a) =
3a²+9-3a²+a³ =
9+a³ a³ 3a 3a³ 3a³ 3a³2)
15b-2 +
5+b =
b(15b-2)+2(5+b)=
15b²-2b+10+2b = 1
5b²+10 =
5(3b²+2) = 10b² 5b³ 10b³ 10b³ 10b³ 10b³=
3b²+2 2b³3) x-3 -
x²-x =
(x-3)(x+2)-(x²-x) =
x²-3x+2x-6-x²+x =
-6 x+2 x+2 x+2 x+24)
x -
4y² =
x -
4y² =
x² -4y² =
(x-2y)(x+2y) =
x+2y x-2y x² -2xy x-2y x(x-2y) x(x-2y) x(x-2y) x5)
x² +
1 =
x² -
1 =
x² -
1 = x³-x 2-2x x(x²-1) 2(x-1) x(x-1)(x+1) 2(x-1)=
2x² - x(x+1) =
x(2x - (x+1)) =
2x-x-1 =
x-1 = 2x(x-1)(x+1) 2x(x-1)(x+1) 2(x-1)(x+1) 2(x-1)(x+1)=
1 =
1 2(x+1) 2x+26)
3 +
3 +
2x =
3 +
3 -
2x = x+3 x²-3x 9-x² x+3 x(x-3) (x-3)(x+3)=
3x(x-3)+3(x+3)-2x*x =
3x²-9x+3x+9-2x² =
x²-6x+9 = x(x-3)(x+3) x(x-3)(x+3) x(x-3)(x+3)=
(x-3)² =
x-3 =
x-3 x(x-3)(x+3) x(x+3) x²+3x3.
36a²-b² =
(6a-b)(6a+b) =
6a-b36a²+12ab+b² (6a+b)² 6a+b
6*(-9) - 34 =
-54-34 =
-88 = 4.46*(-9)+34 -54+34 -20