výrazy
3 – vytýkání, roznásobení
zpět
|
výrazy 1 zápis a podmínky |
výrazy 2 hodnota výrazu |
výrazy 3 vytýkání a roznásobení |
výrazy 4 použití vzorečků |
výrazy 5 lomené výrazy |
|
1) roznásobte závorku |
2) vytkněte |
||
|
4(3x – 5) = |
12x – 20 |
8x – 6 = |
2(x – 3) |
|
x(3 – x) = |
3x – x2 |
9x2 – 6x = |
3x(3x – 2) |
|
(2x – 4)7 = |
14x – 28 |
24x – 16x2 = |
8x(3 – 2x) |
|
8(x – 3) = |
8x – 24 |
12x2 – 6x + 9 = |
3(4x2
– 2x + 3) |
|
-3(2x – 1) = |
-6x + 3 |
17x – 34 = |
17(x – 2) |
|
3)
zjednodušte |
|||
|
3 – 2x + 4 + x = |
-x + 7 |
6ab – 6a + 2ba – a = |
-a(7 – 8b) |
|
b + 3 – 4b – 8 = |
-3b – 5 |
7x2y – 8xy2
+ x2y – xy2 = |
xy(8x – 9y) |
|
x2 – 8 + 7x – x2
+ 2 = |
7x – 6 |
-7 + x2 – 2x +
x2 + 2x – 2 = |
2x2
– 9 |
|
7 – 3x + 5x – 2x2
= |
-2x2
+ 2x + 7 |
5d – d + 1 – 8d + 2 – 3d = |
-7d + 3 |
|
8x – 7x2 – 10x
+ 2x2 = |
-x(5x + 2) |
7b – 3ab + a + 2ba – b +
ab = |
a + 6b |
|
4) roznásobte závorky |
|||
|
(x – 5)(x +
1) = |
x2 – 4x – 5 |
(2x – 1)(3x + 2) = |
6x2 + x – 2 |
|
(2 – x)(x + 4) = |
-x2 – 2x + 8 |
(f – 5g)(g + f) = |
f2 – 4fg – 5g2 |
|
(x – 3)(x – 2) = |
x2 – 5x + 6 |
(ab – 2)(a – b) = |
a2b –ab2 – 2a + 2b |
|
(-2 + y)(4 – y) = |
-y2 + 6y – 8 |
(k + 7)(m – 9) = |
km – 9k + 7m – 63 |
|
(2a + 1)(3a + 2) = |
6a2 + 7a + 2 |
(w – 1)(3w – 3) = |
3w2 – 6w + 3 |
|
(c + 5)(c + 7) = |
c2 + 12c + 35 |
(rs – t)(rt – s) = |
r2st – rs2 – rt2 + st |
|
(-3 – p)(2 – p) = |
p2 – p – 6 |
(uvw – 1)(uv – w) = |
u2v2w – uvw2 – uv + w |
|
5)
rozložte na součin: |
|
|
|
|
24m2n3
– 36mn2 = |
12mn2(2mn
– 3) |
12m3 – 9m2
– 18m4 = |
3m2(4m – 3 – 6m2) |
|
15x4 – 45x5
= |
15x4(1
– 3x) |
x6 – x2
= |
x2(x2
+ 1)(x2 – 1) |
|
66a2b3
– 99a3b2 = |
33a2b2(2b
– 3a) |
36q5 – 45q4
– 54q3 = |
9q3(4q2 – 5q –
6) |
|
100c5 – 25c2
= |
25c2(4c3
– 1) |
a2 – b2
+ 9a + 9b = |
(a + b)(a – b) + 9(a
+ b) = (a + b)(a – b + 9) |
|
32x2y2
– 48x3y3 = |
16x2y2(2
– 3xy) |
75e3 – 25e5
– 125e2 = |
25e2(3e – e3 –
5) |