X-2>-1
х>-1+2
х>1
На числовой прямой отмечаешь:
1
-------•------->, заштриховываешь от 1 до +∞
Ответ: (1; +∞)
1. a). (x + 8)(x + 2) = x² + 8x + 2x + 16 = x² + 10x + 16;
б). (a - b)(3b - 2a) = 3ab - 3b² - 2a² + 2ab = -2a² + 5ab - 3b²;
в). 2x - (x - 3)(x² + 2) = 2x - (x³ - 3x² + 2x - 6) =
= 2x - x³ + 3x² - 2x + 6 = -x³ + 3x² + 6;
2. a). m⁴ - 5m³ + m - 5 = m³(m - 5) + 1·(m - 5) = (m³ + 1)(m - 5) =
= (m + 1)(m² - m + 1)(m - 5);
б). 3a - 15 + ax - 5x = 3(a - 5) + x(a - 5) = (3 + x)(a - 5);
в). am + m - n + 3m - 3n - an = a(m - n) + 3(m - n) + 1(m - n) =
= (a + 4)(m - n);
3. (x - 1)(x - 2) - x² = 2
x² - x - 2x + 2 - x² = 2
-3x = 0
x = 0
Ответ: б). {0}
Упростить многочлен:<span><span><span>(<span>2xy−3<span>y2</span></span>)</span>2</span><span><span>(<span>2xy−3<span>y2</span></span>)</span>2</span></span>Решение:<span><span><span><span>(<span>2xy−3<span>y2</span></span>)</span>2</span>=</span><span><span><span>(<span>2xy−3<span>y2</span></span>)</span>2</span>=</span></span>Возведение в степень:<span><span>4<span>x2</span><span>y2</span>−12x<span>y3</span>+9<span>y4</span></span><span>4<span>x2</span><span>y2</span>−12x<span>y3</span>+9<span>y4</span></span></span>Ответ: <span>4<span>x2</span><span>y2</span>−12x<span>y3</span>+9<span>y<span>4</span></span></span>
2а³+9-2(а+1)(а²-а+1)=2а³+9-2(а³+1)=2а³+9-2а³-2=7
Ответ: 7.
9х+6=10х 6=10х-9х; 6=1х; х= 6. 588) 10х+1=6х; 10х-6х= -1; 4х=-1; х=-1:4; х=-0,25; 587)-4х+8=-7; -4х=-7-(-8); -4х=1; х=1:-4; х=-0,25; 586)-5х-1=4; -5х=4+1;х=-5:5;х=-1;585)-4х+4=-6; -4х=-6-4; -4х=-10; х=-10:-4;х=2,5; 584)-5х-9=-6; -5х=-6+9; -5х=3;х=3:-5;х=-0.6;6 583) -2х-3=1; -2х=1+3; х=4:-2; х=-2;5. 582) 2х+6=8; 2х=8-6; 2х=2; х=1; 581)2х-10=-3; 2х=-3+10=7; х=7:2; х=3,5; 580) 4х+10=-10;4х=-10-10; 4х=-20;х=-20:4;х=-5; 579)2х-7=6; 2х=6+7=13;х=13:2;х=6,5; 578)5х-9=3;5х=3+9=12;х=12:5;х=2,4;
