Algebraik kasrlar va ildizli ifodalarni soddalashtirish
Avval o‘zingiz yeching, keyin javobni tekshiring.
1
(x^2 − 49) / (x^2 + 7x) ni qisqartiring.
(x − 7)(x + 7) / (x(x + 7)) = (x − 7) / x
2
x = 12 bo‘lganda (x^2 − 100) / (x − 10) ning qiymatini toping.
(x − 10)(x + 10) / (x − 10) = x + 10 = 22
3
1/(x − 2) + 1/(x + 2) ni soddalashtiring.
2x / (x^2 − 4)
4
x = −3 bo‘lganda sqrt(25x^2) ning qiymatini toping.
5 · |−3| = 15
5
(sqrt(3) + 1) / (sqrt(3) − 1) ning maxrajini irratsionallikdan qutqaring.
(sqrt(3) + 1)^2 / (3 − 1) = (4 + 2 sqrt(3)) / 2 = 2 + sqrt(3)