Տնային աշխատանք․
առ․1 — 2,4,6…..
(p-q)^2=p^2 — 2pq + q^2
(2+a)^2=a^2 + 4a + 4
(x+5)^2=x^2 + 10x + 25
175-II սյուն
a^2 + 4ab + 4b^2=(a + 2b)^2
16p^2 + 40pq + 25q^2=(4p + 5p)^2
9 + 6a + a^2=(3+ a)^2
4m^2 + 9n^2 + 12mn=(2m + 3n)^2
a^6 + 2a^3b^3 + b^6=((a + b) (a^2 — ab + b^2))^2
առ․2 — բ,դ,զ
4x2 − 4xy + y2=(2x — y)^2
25 − 30c + 9c2=(5 — 3c)^2
100a2 + 25b2 − 100ab=25 (2a — b)^2
առ․3- բ,դ
(C − y)2= 4x2 − D + y2=?
(C + 3q)2 = D − 24pq + 9q2=?
131.
ա) (a + 2b)(a^2 — 2ab + 4b^2) = a^3 + 8b^3
բ) (a — b + c) (a + b — c) = a^2 — c^2 + 2bc — b^2
գ) (a + 2b)(a — 2b)(a^2 + 4b^2) =a^4 — 16b^4
138.
ա) 2a + 4b =2 (a + 2b)
բ) ba — b = ab — b
գ) 6x — 2 = 2 (3x — 1)
դ) yx + 2y = xy — 2y
ե) 3a — 12b = 3 (a — 4b)
զ) 7x -28 = 7 (x — 4)
139.
ա) x (a + b) + y (a + b) = ax — bx + ay — by
բ) (a + b) a — b (a+b) = a^2 — 2ab + b^2
գ) m (n — 3) -2 (n — 3) = mn — 3m — 2n + 6
դ) (x — y) 3 — a (x + b) = 3x — 3y — ax — ab
ե) 2a (1- b) — 3 (1 — b) = 2a — 2ab — 3 + 3b
զ) a (b + 3) — b (3 + b) = ab + 3a — 3b — b^2
ա)(8x-3)(4x+5) = 32x^2 + 28x -15
բ)8x-3 * 4x+5 = -4x + 5
գ)(4a-3) * 2a — 3 = 8a^2 — 6a — 3
դ) 4a — 3 (2a — 3) = -2a + 9
125.
ա) (a+1)(a+1) = a^2 + 2a +1
զ)(a-2)(3-a) = -a^2 + 5a — 6
126.
ա) (5m + 7n)(2n+4m)= 20m^2 + 38mn + 14n^2
զ) (-7x — 4y)(-5x + 7y)= 35x^2 — 29xy — 28y^2
127.
ա) (a+1)(a+1)(a+1)=a^3 + 3a^2 + 3a + 1
զ) (a-b-c)(a-1)=a^2 — a ab +b — ac + c
109.
(a+3)7 = a^2 ab
(x-y)10 = 10x — 10y
a (x-y) = ax — ay
a (a+b) = a^2 + ab
(a+b-c)2 = 2a+2b-2c
(a+b)(-6) = -6b -6b
x (x-y+c) = x^2 — xy + xc
(a-b) 5a = 5a^2 — 5ab
110.
(-2) (x+y) = — 2x — 2y
(7+3y-x^2y) (-2xy) = 2x^3y^2 — 6xy^2 — 14xy
3ab (a^2 — 2a + 1) =
2a (x + y) = 2ax + 2ay
(x^2 + 2xy + y^2) (-12xy^3) =
21a^2b^5 (a^3 — 4ab^2 — b^2) =
(-abc)(ab + ac + bc) =
-ac (a + 2c) =
88.
ա) 4a^2b + 5b^2a + baa + 3aba 4a^2b + 5ab^2 + a^2b + 3a^2b8a^2b + 5ab^2
բ) 5a^3 — 7ax^3 + 2ax^3 — a^3x -ax^35a^3 — 6ax^3 — a^3x
գ)
3ax^2 — 3a^2x + 2a^2x^2 — 7a^2x^2 — a^2x
1.3ax^2 — 4a^22x + 2a^2x^2 — 7a^2x^2
2.3ax^2 — 4a^2x — 5a^2x^2
3ax^2 — 4a^2x -5a^2x^2
դ)
6n^3 — 8p^2n^3 + p^2n^3 + 12 n^3p^2 + 2n^3
6n^3 — 8n^3p^2 + n^3p^2 + 12n^3p^2 +2n^3
8n^3 + 6n^3p^2
ե) 7a^3 — 8aba^2 + 3a^2 — 4b
7a^3 — 8a^1 ba^2 + 3a^2 -4b
7a^3 — 8a^3 — 8a^3b + 3a^2 — 4
զ)x^5 — 7y^2 + 3xyx^4 + 2x-1
x^5 — 7y^2 + 3x^1yx^4 + 2x — 1
x^5 — 7y ^2 + 3x^5y + 2x — 1
է)ac + 2abc — 7a^2 + 3ac — 3cab
ac + 2abc — 7a^2 + 3ca — 3abc
4ac — abc — 7a^2
89.ա) 2aa + a * 3a + a^2
1. 2a+a+a+3a+a^2
2. 2a^2 + 3a^2 + a^2
6a^2
բ) 2x^2 * 3xy — 4x * 5x^2y 6x^3y — 20x^3y 14x^3y
գ)y^2 * 2x — 3x^2 * 2y + 2xy * 2y -xy * (- 4x)
2y^2x — 3x2y + 2xy2y = 2xy^2 — 6xy + 2xy^2 = 6xy^2 — 6xy
6xy (y — 1)
դ) xx * (-2y) — y * 3xy + 7x^2 * (-2x) — 4y^2 * 2x
-2x^3 — 3xy^2 — 14x^3 — 8xy^2 -16x^3 — 11xy^2
82. ա)2a+5b+7a=2a+7a+5b=9a+5b
բ)2x+3y+10x=2x+10x+3y=12x+3y
գ)7a+b+3a+b=10a+2b
դ)a+7b+b+2a=a+2a+7b+b=3a+8b
ե)2x+y+3x+y+4x=2x+3x+4x+y+y=9x+2y
զ)a+2x+5x+2a+9x=a+2a+2x+5x+9x=3a+16x
84. ա)1,1x-2,7y+0,8x-x+3y=1,1x+0,8-x-2,7y+3y=0,9x+0,3y
գ)1/3x+2/5y-x+1.1/4y=1/3x-x+2/5y+1.1/4y=-2/3x+33/20y=2/3x+1.13/20y
զ)1/4b-7x-3,2b+2.3/4x+b+0,6x=1/4b-3,2b+b-7x+2.3/4x+0,6x=-1.19/20b-3.13/20x
ը)ba²-3a³+7a²b+3a²-8a²b=ba²+7a²b-8a²b-3a³+3a²=-3a³+3a²
a)2x^2
-3xy
-xy
7y
b)-x^7
-x^5
-2x^3
-3x
A) a+c
B)2x+y^2
G)2a + b^3+(-2)
D)x^3 + 0,5y^2 + (-x) + (-5xy)
10.10.2022
2. ա)2x+3x=5x
գ)a+4a+a=4a
ե)2a+4a+6a=12a
է)17a²+13a²+11a²=41a²
թ)43ce²+(-17)ce²+11ce²=37ce²
3. ա)7x-2x=5x
բ)-4b-2b=-6b
գ)28a²-17a²=11a²
դ)24b²c³-(-17)b²c³=41b²c³
03.10.2022
բ)3CE×17EK³×2C³K=102C⁴E²K⁴
Գ)5B²C²×7CE³×(-6)BE³=(-210)B³C³E⁶
Դ)(-5)E²K²×6E8P=(-240)E³K²P
Ե)7K²P×5PX×5K²X²=175K⁴P²X³
Զ)2PX²×8X×12Y=192PX³Y
Է)12AK²×(-3)KX²×2AX=(-72)A²K³X³
Ը)13A³K×5K³Y×AY³=65A⁴K⁴Y⁴
2. ա) (XY)²=X×X×Y×Y
բ) (AB)²=A×A×B×B
գ)(2X)³=2×2×2×X×X×X
դ) (3Y)²=3×3×Y×Y
ե) (2ABC)¹=2ABC
Զ) (3MUK)²=3×3×M×M×U×U×K×K
Է) (13XY)⁹=13×13×13×13×13×13×13×13×13×X×X×X×X×X×X×X×X×X×Y×Y×Y×Y×Y×Y×Y×Y×Y
Ը) (17CD)²⁰=17×17×17×17×17×17×17×17×17×17×17×17×17×17×17×17×17×17×17×17×C×C×C×C×C×C×C×C×C×C×C×C×C×C×C×C×C×C×C×C×D×D×D×D×D×D×D×D×D×D×D×D×D×D×D×D×D×D×D×D
3. (a²)²=a⁴
(ab)²=a²b²
(2x)³=2³x³
(3b)³=3³b³
(4c²)²=4²c⁴
(5ab)²=5²a²b²
(7ab²)²=7²a²b⁴
(9b²c)²=9²b⁴c²
(3c²e⁴)⁴=3⁴c⁸e¹⁶
(2a²k³)⁵=2⁵a¹⁰k¹⁵
(1/2a²)²=1/2²a⁴
(3/4a²)²=3/4²a⁴
(-1.1/2c²)²=-1.1/2²c⁴
(-1.1/3e³)³=-1.1/3³e⁹
(1.1/7ab)²=1.1/7²a²b²
(-1/6px³)³=-1/6p³x⁹
4. 25a²=5a²
49b²=(7b)²
16c⁴=(4c²)²
81e⁶=(9e³)⁶
64k⁸=(8k⁴)²
1/49p⁸=(1/7p⁴)²
2.1/4a¹⁰x⁶=(3/2a⁵x³)²
2.7/9b¹²y¹⁰=(5/3b⁶y⁵)²
5. 8a³=(2a)³
27b³=(3b)³
125c⁶=(5c²)³
216e⁹=(6e³)³
1/27a⁹c³=(1/3a³c)³
1/125b⁶y¹²=(1/5b²y⁴)³
15.5/8a¹⁸p⁹=(5/2a⁶p³)³
2.10/27b⁶c¹⁸=(4/3b²c⁶)³
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