Mavzular

Mavzular / Algebra asoslari

Algebraik kasrlar

Test: 10 ta savol, vaqt bilan

4 ta oson, 4 ta oʻrta, 2 ta qiyin. Tez va toʻgʻri javob — koʻproq ball.

Testni boshlash

Yoki quyida mashq qiling: variantni tanlang — javob va izoh chiqadi. Ball berilmaydi.

Oson · 10 ta

1.

Kasrni qisqartiring: 15a418a2\frac{15 a^{4}}{18 a^{2}}

2.

Ifodani soddalashtiring: 5x+2x+6+−4x−5x+6\frac{5 x + 2}{x + 6} + \frac{- 4 x - 5}{x + 6}

3.

Ifodani soddalashtiring: 7x+1x2\frac{7}{x} + \frac{1}{x^2}

4.

Kasrni qisqartiring: 6x−245x−20\frac{6 x - 24}{5 x - 20}

5.

Ifodani soddalashtiring: 1x−4−1x+4\frac{1}{x - 4} - \frac{1}{x + 4}

6.

Kasrni qisqartiring: x2−25x−5\frac{x^{2} - 25}{x - 5}

7.

Kasrni qisqartiring: x2+8x+16x+4\frac{x^{2} + 8 x + 16}{x + 4}

8.

Ifodani soddalashtiring: x+45x⋅3x2x2−16\frac{x + 4}{5 x} \cdot \frac{3 x^{2}}{x^{2} - 16}

9.

Kasrni qisqartiring: x2−x−42x+6\frac{x^{2} - x - 42}{x + 6}

10.

Ifodani soddalashtiring: x2−25x:x+5x2\frac{x^{2} - 25}{x} : \frac{x + 5}{x^{2}}

Oʻrta · 10 ta

1.

Kasrni qisqartiring: 3x4y26x3y3\frac{3 x^{4} y^{2}}{6 x^{3} y^{3}}

2.

Ifodani soddalashtiring: 3x−3x−4−−4x−4x−4\frac{3 x - 3}{x - 4} - \frac{- 4 x - 4}{x - 4}

3.

Ifodani soddalashtiring: 32x−15x2\frac{3}{2x} - \frac{1}{5x^2}

4.

Kasrni qisqartiring: 3x2−6x7x−14\frac{3 x^{2} - 6 x}{7 x - 14}

5.

Kasrni qisqartiring: x2−81x2+9x\frac{x^{2} - 81}{x^{2} + 9 x}

6.

Ifodani soddalashtiring: 4x−3+5x+3\frac{4}{x - 3} + \frac{5}{x + 3}

7.

Ifodani soddalashtiring: x2−163x⋅2xx+4\frac{x^{2} - 16}{3 x} \cdot \frac{2 x}{x + 4}

8.

Kasrni qisqartiring: x2−10x+25x2−25\frac{x^{2} - 10 x + 25}{x^{2} - 25}

9.

Kasrni qisqartiring: x2+7x+12x2+11x+28\frac{x^{2} + 7 x + 12}{x^{2} + 11 x + 28}

10.

Ifodani soddalashtiring: 2x+12x2:x2−36x\frac{2 x + 12}{x^{2}} : \frac{x^{2} - 36}{x}

Qiyin · 10 ta

1.

Kasrni qisqartiring: 12nx220n2x2\frac{12 n x^{2}}{20 n^{2} x^{2}}

2.

Ifodani soddalashtiring: 5−xx−1−8−4xx−1\frac{5 - x}{x - 1} - \frac{8 - 4 x}{x - 1}

3.

Ifodani soddalashtiring: 7x+7x2−4x3\frac{7}{x} + \frac{7}{x^2} - \frac{4}{x^3}

4.

Kasrni qisqartiring: 4x2−8x3x3−3x2−6x\frac{4 x^{2} - 8 x}{3 x^{3} - 3 x^{2} - 6 x}

5.

Ifodani soddalashtiring: x+6x−3−x+3x−6\frac{x + 6}{x - 3} - \frac{x + 3}{x - 6}

6.

Kasrni qisqartiring: 16x2−164x2+4x\frac{16 x^{2} - 16}{4 x^{2} + 4 x}

7.

Kasrni qisqartiring: 9x2+6x+13x2+x\frac{9 x^{2} + 6 x + 1}{3 x^{2} + x}

8.

Ifodani soddalashtiring: x2−14x+495x2⋅3xx2−49\frac{x^{2} - 14 x + 49}{5 x^{2}} \cdot \frac{3 x}{x^{2} - 49}

9.

Kasrni qisqartiring: x2−5x+6x2−7x+10\frac{x^{2} - 5 x + 6}{x^{2} - 7 x + 10}

10.

Ifodani soddalashtiring: x2+12x+362x:x+62x2−12x\frac{x^{2} + 12 x + 36}{2 x} : \frac{x + 6}{2 x^{2} - 12 x}

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