При а=-5
1)B=5-4=1
2)b=|5-5|=0
При а =0
1)b=0-4=-4
2)|5-0|=5
при а =4
1)b=4-4=0
2)|5-4|=1
(а+3)(а-4)=а²-4а+3а-12=а²-а-12
(а-1)(6-а)= 6а-а²-6+а=-а²+7а-6
1.
a)V5(V10+V5)-5/2V8=
=(V50+V25)-V(25/4*8)=
V(25*2)+5 -V(25*2)=
=5V2+5-5V2=5
b)(V5-V2)=
=(V5)²-2V5*V2+(V2)²=
=5-2V10+2= 7-2V10
2.
a)(36-a) /(6-Va)= (36-a)/(6-Va) * (6+Va)/(6+Va)= (36-a)(6+Va) /(36-a)=6+Va
b)(V5-V5)/(V15-V3)=(5-V5)/(V15-V3) *(V15+V3)/(V15+V3)=
=(5-V5)(V15+V3) / 15-3=(5V15+5V3-V5*15)-V(5*3) /8=
=(5V15+5V3-V75-V15)/8=4V15/4=V15/2
4.
4/(2V3+1)-4/2V3-1)=[4(2V3-1)-4(2V3+1)]/[(2V3)²-1²]=
=(8V3-4-8V3-4)/(12-1)= -8/11
5.
a) V(-3,2)²=V10,24=3,2 b) Vx^6=(x^1/2)^6=x^3/2=Vx³
b)Vy^4=(y^1/2)^4=y²
6.
a)2V3=V4*3=V12 b)aV2=V2a² w)xV-3/x=V-3x²/x=V-3x
46.
<u>pq</u> - 20k³ <u>- 4k²p</u> - 5qk =
= p(q - 4k²) - 5k(4k² + q) =
= p(q - 4k²) + 5k(q - 4k²) =
= (q - 4k²)(p + 5k).
47.
<u>15x²</u> + 2yz<u> - 5xz</u> - 6xy =
= 5x(3x - z) + 2y(z - 3x) =
= 5x(3x - z) - 2y(3x - z) =
= (3x - z)(5x - 2y),
48.
<u>mp</u> + 10n² - <u>2mn</u> - 5np =
= m(p - 2n) + 5n(2n - p) =
= m(p - 2n) - 5n(p - 2n) =
= (p - 2n)(m - 5n),
49.
<u>x⁴ + 2a²x²</u> - 4a²b² - 4b⁴ =
= x²(x² + 2a²) - 4b²(a² + b²),
50.
<u>a⁴ -</u> 4a³b - 12a²b² - 8ab³<u> - b⁴ </u>=
= (a⁴ - b⁴) - (4a³b + 12a²b² + 8ab³) =
= (a² - b²)(a² + b²) - 4ab(a² + 3ab + 2b²) =
= (a - b)(a + b)(a² + b²) - 4ab(a² + 3ab + 2b²)