Mathway | المسائل الشائعة

المسائل الشائعة

التصنيف	الموضوع	المسألة	مسألة منسّقة
12301	بسّط	\| الجذر التربيعي لـ 5-2.2\|	$\| \sqrt{5} - 2.2 \|$
12302	بسّط	(8+ الجذر التربيعي لـ -5)^2	${(8 + \sqrt{- 5})}^{2}$
12303	بسّط	sin(x)^2+2/(csc(x))+1	$\sin^{2} (x) + \frac{2}{\csc (x)} + 1$
12304	بسّط	i^3+i^2*0	$i^{3} + i^{20}$
12305	بسّط	-( الجذر التربيعي لـ 5)/4	$- \frac{\sqrt{5}}{4}$
12306	بسّط	(tan(x)^2)/(1-sec(x))	$\frac{\tan^{2} (x)}{1 - \sec (x)}$
12307	بسّط	(tan(x)^2)/(csc(x-1)^2)	$\frac{\tan^{2} (x)}{\csc^{2} (x - 1)}$
12308	بسّط	( الجذر التكعيبي لـ 24)/( الجذر التكعيبي لـ 15)	$\frac{\sqrt[3]{24}}{\sqrt[3]{15}}$
12309	بسّط	(a/8-4/(a^2))/4	$\frac{\frac{a}{8} - \frac{4}{a^{2}}}{4}$
12310	بسّط	(cos(x)^2-sin(x)^2)/(sin(2x))	$\frac{\cos^{2} (x) - \sin^{2} (x)}{\sin (2 x)}$
12311	بسّط	((3pi)/2)/3	$\frac{\frac{3 π}{2}}{3}$
12312	بسّط	((3pi)/4)/(2pi)	$\frac{\frac{3 π}{4}}{2 π}$
12313	بسّط	((2x^2-11x-6)/(x^2-25))/((2x^2+13x+6)/(x^2+x-30))	$\frac{\frac{2 x^{2} - 11 x - 6}{x^{2} - 25}}{\frac{2 x^{2} + 13 x + 6}{x^{2} + x - 30}}$
12314	بسّط	(5/((x+h)^2)-5/(x^2))/h	$\frac{\frac{5}{{(x + h)}^{2}} - \frac{5}{x^{2}}}{h}$
12315	بسّط	(6/((x+h)^2)-6/(x^2))/h	$\frac{\frac{6}{{(x + h)}^{2}} - \frac{6}{x^{2}}}{h}$
12316	بسّط	21/(x-5)-13/(x^2-5x)	$\frac{21}{x - 5} - \frac{13}{x^{2} - 5 x}$
12317	بسّط	(1/(7+x+h)-1/(7+x))/h	$\frac{\frac{1}{7 + x + h} - \frac{1}{7 + x}}{h}$
12318	بسّط	(1/(x^2)-1/9)/(x-3)	$\frac{\frac{1}{x^{2}} - \frac{1}{9}}{x - 3}$
12319	بسّط	( الجذر التربيعي لـ 18)/( الجذر التربيعي لـ 81)	$\frac{\sqrt{18}}{\sqrt{81}}$
12320	بسّط	(\|2x-1\|)/(1-2x)	$\frac{\| 2 x - 1 \|}{1 - 2 x}$
12321	بسّط	((x^2-4x)/(x-5))/((3x)/(x^2+2x-35))	$\frac{\frac{x^{2} - 4 x}{x - 5}}{\frac{3 x}{x^{2} + 2 x - 35}}$
12322	بسّط	(1-sec(x)^2)/(tan(x)^2)	$\frac{1 - \sec^{2} (x)}{\tan^{2} (x)}$
12323	بسّط	(1-cos(x)^4)/(1+cos(x)^2)	$\frac{1 - \cos^{4} (x)}{1 + \cos^{2} (x)}$
12324	بسّط	(1-sin(t)^2)/(cos(t)^2)	$\frac{1 - \sin^{2} (t)}{\cos^{2} (t)}$
12325	بسّط	(1-sin(t)^2)/(sin(t)^2)	$\frac{1 - \sin^{2} (t)}{\sin^{2} (t)}$
12326	بسّط	\|-10+24i\|	$\| - 10 + 24 i \|$
12327	بسّط	((x+1)/(x^3)+1)/(((x+1)/(x^3))^3)	$\frac{\frac{x + 1}{x^{3}} + 1}{{(\frac{x + 1}{x^{3}})}^{3}}$
12328	بسّط	((x-2)/(x+2)+(x-1)/(x+1))/(x/(x+1)-(2x-3)/x)	$\frac{\frac{x - 2}{x + 2} + \frac{x - 1}{x + 1}}{\frac{x}{x + 1} - \frac{2 x - 3}{x}}$
12329	بسّط	\|(x+7)(x-1)\|	$\| (x + 7) (x - 1) \|$
12330	بسّط	(x^2-x-20)/(x+4)*(x-3)/(x^2-2x-15)	$\frac{x^{2} - x - 20}{x + 4} \cdot \frac{x - 3}{x^{2} - 2 x - 15}$
12331	بسّط	(x^4-9)/(x^2+3)*(x^2+3)/(x^4-9)	$\frac{x^{4} - 9}{x^{2} + 3} \cdot \frac{x^{2} + 3}{x^{4} - 9}$
12332	بسّط	(x^2-3x)/(x^3-4x^2+3x)+2/(x^2-1)	$\frac{x^{2} - 3 x}{x^{3} - 4 x^{2} + 3 x} + \frac{2}{x^{2} - 1}$
12333	بسّط	(x^2-x-12)/(x^2-2x-15)*(x^2-9x+20)/(x^2-8x+16)	$\frac{x^{2} - x - 12}{x^{2} - 2 x - 15} \cdot \frac{x^{2} - 9 x + 20}{x^{2} - 8 x + 16}$
12334	بسّط	(x^2-5x+6)/(x^2+2x-15)	$\frac{x^{2} - 5 x + 6}{x^{2} + 2 x - 15}$
12335	بسّط	(x^2-15x+54)/(x^4-36x^2)	$\frac{x^{2} - 15 x + 54}{x^{4} - 36 x^{2}}$
12336	بسّط	(x^(1/2))/(x^9)	$\frac{x^{\frac{1}{2}}}{x^{9}}$
12337	بسّط	(x/(x+2)-4/(x+2))/(x-3-6/(x+2))	$\frac{\frac{x}{x + 2} - \frac{4}{x + 2}}{x - 3 - \frac{6}{x + 2}}$
12338	بسّط	( الجذر التربيعي لـ -48)/( الجذر التربيعي لـ 6)	$\frac{\sqrt{- 48}}{\sqrt{6}}$
12339	بسّط	(x/y-y/x)/(1/(3x^2)-1/(3y^2))	$\frac{\frac{x}{y} - \frac{y}{x}}{\frac{1}{3 x^{2}} - \frac{1}{3 y^{2}}}$
12340	بسّط	(x^2)/3-x/18	$\frac{x^{2}}{3} - \frac{x}{18}$
12341	بسّط	(x^2+1)/(x^2-1)	$\frac{x^{2} + 1}{x^{2} - 1}$
12342	بسّط	(x^2+2x-3)/(x^2-2x-3)*(3-x)/(3+x)	$\frac{x^{2} + 2 x - 3}{x^{2} - 2 x - 3} \cdot \frac{3 - x}{3 + x}$
12343	بسّط	(x^(3/5)y^(9/10))/(x^(-2/5)y^(1/2))	$\frac{x^{\frac{3}{5}} y^{\frac{9}{10}}}{x^{- \frac{2}{5}} y^{\frac{1}{2}}}$
12344	بسّط	(x^2+2xy+y^2)/(x^2-y^2)*(2x^2-xy-y^2)/(x^2-xy-2y^2)	$\frac{x^{2} + 2 x y + y^{2}}{x^{2} - y^{2}} \cdot \frac{2 x^{2} - x y - y^{2}}{x^{2} - x y - 2 y^{2}}$
12345	بسّط	(x^2+2xy+y^2)/(x^2-y^2)*(4x^2-xy-3y^2)/(3x^2-xy-4y^2)	$\frac{x^{2} + 2 x y + y^{2}}{x^{2} - y^{2}} \cdot \frac{4 x^{2} - x y - 3 y^{2}}{3 x^{2} - x y - 4 y^{2}}$
12346	بسّط	(x^2+2xy+y^2)/(x^2-y^2)*(9x^2-5xy-4y^2)/(4x^2-5xy-9y^2)	$\frac{x^{2} + 2 x y + y^{2}}{x^{2} - y^{2}} \cdot \frac{9 x^{2} - 5 x y - 4 y^{2}}{4 x^{2} - 5 x y - 9 y^{2}}$
12347	بسّط	(x^2+3x-10)/(x^2-7x+6)*(x^2+2x-3)/(x^2+x-6)	$\frac{x^{2} + 3 x - 10}{x^{2} - 7 x + 6} \cdot \frac{x^{2} + 2 x - 3}{x^{2} + x - 6}$
12348	بسّط	(18x^2-3x)/(3xy)*(12y^2)/(6x-1)	$\frac{18 x^{2} - 3 x}{3 x y} \cdot \frac{12 y^{2}}{6 x - 1}$
12349	بسّط	14^2+8^2-214(8cos(200))	$14^{2} + 8^{2} - 2 \cdot 14 \cdot (8 \cos (200))$
12350	بسّط	(1-cos(2x))/(1+cos(2x))	$\frac{1 - \cos (2 x)}{1 + \cos (2 x)}$
12351	بسّط	(1-cos(x))/(cos(x))	$\frac{1 - \cos (x)}{\cos (x)}$
12352	بسّط	(2(x-y))/( الجذر التربيعي لـ x- الجذر التربيعي لـ y)	$\frac{2 (x - y)}{\sqrt{x} - \sqrt{y}}$
12353	بسّط	10/(sin(110))	$\frac{10}{\sin (110)}$
12354	بسّط	129/(tan(65.8))	$\frac{129}{\tan (65.8)}$
12355	بسّط	(13+4x)/(8x)-13/(8x)	$\frac{13 + 4 x}{8 x} - \frac{13}{8 x}$
12356	بسّط	(12pi)/6-(11pi)/6	$\frac{12 π}{6} - \frac{11 π}{6}$
12357	بسّط	134/(tan(62.8))	$\frac{134}{\tan (62.8)}$
12358	بسّط	(14w)/(51y)*(3w)/(7y)	$\frac{14 w}{51 y} \cdot \frac{3 w}{7 y}$
12359	بسّط	(12x^3)/25*40/(9x^2)	$\frac{12 x^{3}}{25} \cdot \frac{40}{9 x^{2}}$
12360	بسّط	(12a^2b)/15*(5ab)/(8b^2)	$\frac{12 a^{2} b}{15} \cdot \frac{5 a b}{8 b^{2}}$
12361	بسّط	(2cot(x)^2-3cot(x)-9)/(cot(x)^2-9)	$\frac{2 \cot^{2} (x) - 3 \cot (x) - 9}{\cot^{2} (x) - 9}$
12362	بسّط	2/(3x-4)+x/5	$\frac{2}{3 x - 4} + \frac{x}{5}$
12363	بسّط	2^(1/8)x^(3/8)	$2^{\frac{1}{8}} x^{\frac{3}{8}}$
12364	بسّط	(2+i)/i-4/(6-i)	$\frac{2 + i}{i} - \frac{4}{6 - i}$
12365	بسّط	(23x)/(y^2)-(16y)/x	$\frac{23 x}{y^{2}} - \frac{16 y}{x}$
12366	بسّط	(27x^-5y^12)/(18x^5y^-3)	$\frac{27 x^{- 5} y^{12}}{18 x^{5} y^{- 3}}$
12367	بسّط	2/(x^2-x-2)+10/(x^2+2x-8)	$\frac{2}{x^{2} - x - 2} + \frac{10}{x^{2} + 2 x - 8}$
12368	بسّط	(-1-j)/(-1+7j)	$\frac{- 1 - j}{- 1 + 7 j}$
12369	بسّط	(2h^2)/h	$\frac{2 h^{2}}{h}$
12370	بسّط	(2x^3-28x^2-102x)/(18x-2x^3)	$\frac{2 x^{3} - 28 x^{2} - 102 x}{18 x - 2 x^{3}}$
12371	بسّط	2/(r+10)-4/(r-6)-r/(r^2+4r-60)	$\frac{2}{r + 10} - \frac{4}{r - 6} - \frac{r}{r^{2} + 4 r - 60}$
12372	بسّط	2/(3x^2+2x-8)+1/(x+2)	$\frac{2}{3 x^{2} + 2 x - 8} + \frac{1}{x + 2}$
12373	بسّط	2/3*cos(3x-pi/2)+1	$\frac{2}{3} \cdot \cos (3 x - \frac{π}{2}) + 1$
12374	بسّط	2/(4p^2+16p)-(p-1)/(2p-3)	$\frac{2}{4 p^{2} + 16 p} - \frac{p - 1}{2 p - 3}$
12375	بسّط	1/6-1/(n+6)	$\frac{1}{6} - \frac{1}{n + 6}$
12376	بسّط	1/(arccos(x))	$\frac{1}{\arccos (x)}$
12377	بسّط	1/5+2/x-2/3	$\frac{1}{5} + \frac{2}{x} - \frac{2}{3}$
12378	بسّط	1/(cot(u))	$\frac{1}{\cot (u)}$
12379	بسّط	1/(csc(x)+cot(x))+1/(csc(x)-cot(x))	$\frac{1}{\csc (x) + \cot (x)} + \frac{1}{\csc (x) - \cot (x)}$
12380	بسّط	1/(sec(x+1))+1/(sec(x-1))	$\frac{1}{\sec (x + 1)} + \frac{1}{\sec (x - 1)}$
12381	بسّط	1/(sec(x-1))	$\frac{1}{\sec (x - 1)}$
12382	بسّط	1/(tan(x))+1/(cot(x))	$\frac{1}{\tan (x)} + \frac{1}{\cot (x)}$
12383	بسّط	1/(tan(x))*((cos(x))/(sin(x)))	$\frac{1}{\tan (x)} \cdot (\frac{\cos (x)}{\sin (x)})$
12384	بسّط	1/(sin(x)cos(x))-1/(tan(x))	$\frac{1}{\sin (x) \cos (x)} - \frac{1}{\tan (x)}$
12385	بسّط	الجذر التربيعي لـ 4x+ الجذر التربيعي لـ x^9	$\sqrt{4 x} + \sqrt{x^{9}}$
12386	بسّط	(1+sin(-x))/(1+cos(-x))-(1-sin(-x))/(1-cos(-x))	$\frac{1 + \sin (- x)}{1 + \cos (- x)} - \frac{1 - \sin (- x)}{1 - \cos (- x)}$
12387	بسّط	(1+2j+j+2(-1))/(1-4*-1)	$\frac{1 + 2 j + j + 2 (- 1)}{1 - 4 \cdot - 1}$
12388	بسّط	(1+cot(A))/(csc(A))	$\frac{1 + \cot (A)}{\csc (A)}$
12389	بسّط	1/(x-1)-2/(x^2)	$\frac{1}{x - 1} - \frac{2}{x^{2}}$
12390	بسّط	1/(x+3)-1/3	$\frac{1}{x + 3} - \frac{1}{3}$
12391	بسّط	1/(x-1)-x/3	$\frac{1}{x - 1} - \frac{x}{3}$
12392	بسّط	1/x+5	$\frac{1}{x} + 5$
12393	بسّط	1/x-2/y	$\frac{1}{x} - \frac{2}{y}$
12394	بسّط	1/3+1/7	$\frac{1}{3} + \frac{1}{7}$
12395	بسّط	1/2(x^(-1/2)(5x+8)^(1/2))-5/2(x^(1/2)(5x+8)^(-1/2))	$\frac{1}{2} \cdot (x^{- \frac{1}{2}} {(5 x + 8)}^{\frac{1}{2}}) - \frac{5}{2} \cdot (x^{\frac{1}{2}} {(5 x + 8)}^{\frac{- 1}{2}})$
12396	بسّط	-1/(( الجذر التربيعي لـ 3)/(2/(-1/2)))	$\frac{- 1}{\frac{\sqrt{3}}{\frac{2}{\frac{- 1}{2}}}}$
12397	بسّط	1/(i^3)	$\frac{1}{i^{3}}$
12398	بسّط	1/(1+tan(x)^2)	$\frac{1}{1 + \tan^{2} (x)}$
12399	بسّط	1/(x^2-x-2)-x/(x^2-5x+6)	$\frac{1}{x^{2} - x - 2} - \frac{x}{x^{2} - 5 x + 6}$
12400	بسّط	1/(x^2)*(3)	$\frac{1}{x^{2}} \cdot (3)$