Ответ смотрите внизу на фотографии
<span><span>(<span><span>a2</span>−<span>b2</span>+ab−2</span>)</span><span>(<span><span>a2</span>−<span>b2</span>−ab−2</span>)</span>−<span><span>(<span><span>a2</span>−<span>b2</span>−2</span>)</span>2</span>=</span>Возведение в степень:<span><span>(<span><span>a2</span>−<span>b2</span>+ab−2</span>)</span><span>(<span><span>a2</span>−<span>b2</span>−ab−2</span>)</span>−<span>(<span><span>a4</span>−2<span>a2</span><span>b2</span>−4<span>a2</span>+<span>b4</span>+4<span>b2</span>+4</span>)</span>=</span>Раскрытие скобок:<span><span><span>a4</span>+<span>a2</span><span>(<span>−1</span>)</span><span>b2</span>+<span>a3</span><span>(<span>−1</span>)</span>b+<span>a2</span><span>(<span>−2</span>)</span>−<span>b2</span><span>a2</span>+<span>b4</span>+<span>b3</span>a+2<span>b2</span>+<span>a3</span>b+a<span>b3</span><span>(<span>−1</span>)</span></span><span>+<span>a2</span><span>b2</span><span>(<span>−1</span>)</span>+ab<span>(<span>−2</span>)</span>−2<span>a2</span>+2<span>b2</span>+2ab+4−<span>a4</span>+2<span>a2</span><span>b2</span>+4<span>a2</span>−<span>b4</span>−4<span>b2</span>−4=</span></span><span><span>a2</span><span>(<span>−1</span>)</span><span>b2</span>−<span>b2</span><span>a2</span>+<span>b3</span>a+a<span>b3</span><span>(<span>−1</span>)</span>+<span>a2</span><span>b2</span>=</span><span>−<span>a2</span><span>b2</span>−<span>b2</span><span>a2</span>+<span>b3</span>a−a<span>b3</span>+<span>a2</span><span>b2</span>=</span>−a2b2
Раскроем скобки с учётом знаков :0,14n-13n-0,7-3,9=-1,26*0,3-4,6=-1,26*0,3-4,6=-4,978
1) а²-3а+2/а²-5а+6=(a-2)(a-1)/(a-3)(a-2)=a-1/a-3
а²-3а+2=0
D=9-8=1, D>0
a₁=3+1/2=2, a₂=3-1/2=1
a²-5a+6=0
D=25-24=1, D>0
a₃=5+1/2=3, a₄=5-1/2=2
ответ: а-1/а-3
2)5а²-9а-2/а²-3а+2=(a-2)(a+0,2)/(a-2)(a-1)=a+0,2/a-1
5а²-9а-2=0
D=81+40=121, D>0
a₁=9+11/10=2, a₂=9-11/10=-0,2
a²-3a+2=0
D=9-8=1, D>0
a₃=3+1/2=2, a₄=3-1/2=1
Ответ: а+0,2/а-1
3) 6х²+х-2/3х²-4х-4=(х-1/2)(х+2/3)/(х-2)(х+2/3)=х-1/2/х-2
6х²+х-2=0
D=1+48=49, D>0
x₁=-1+7/12=1/2
x₂=-1-7/12=-8/12=-2/3
3x²-4x-4=0
D=16+48=64, D>0
x₃=4+8/6=2, x₄=4-8/6=-4/6=-2/3
ответ: х-1/2/х-2