Mathway | المسائل الشائعة

المسائل الشائعة

التصنيف	الموضوع	المسألة	مسألة منسّقة
18701	بسّط	-1/(0.4t)-3t^2*2	$- \frac{1}{0.4 t} - 3 t^{2} \cdot 2$
18702	بسّط	1/((2i)^3)*(e^(ix)-e^(-ix))^3	$\frac{1}{{(2 i)}^{3}} \cdot {(e^{i x} - e^{- i x})}^{3}$
18703	بسّط	1/(pi/2)	$\frac{1}{\frac{π}{2}}$
18704	بسّط	1/(b/(1/b-1/a))	$\frac{1}{\frac{b}{\frac{1}{b} - \frac{1}{a}}}$
18705	بسّط	1/(x^2-1)	$\frac{1}{x^{2} - 1}$
18706	بسّط	(x+8)^3(3x-1)^6	${(x + 8)}^{3} {(3 x - 1)}^{6}$
18707	بسّط	(x+2)^3e^(-3x)	${(x + 2)}^{3} e^{- 3 x}$
18708	بسّط	(x-2y)^5	${(x - 2 y)}^{5}$
18709	بسّط	((2(1+h)^2+4)-(2(1)^2+4))/h	$\frac{(2 {(1 + h)}^{2} + 4) - (2 {(1)}^{2} + 4)}{h}$
18710	بسّط	((a^m*a^(-n))^-3)/((a^(m+n))^3)	$\frac{{(a^{m} \cdot a^{- n})}^{- 3}}{{(a^{m + n})}^{3}}$
18711	بسّط	(8x+8)^2	${(8 x + 8)}^{2}$
18712	بسّط	(9-x^2)^2	${(9 - x^{2})}^{2}$
18713	بسّط	(8cos(2x))^2	${(8 \cos (2 x))}^{2}$
18714	بسّط	(5xcos(x))^2	${(5 x \cos (x))}^{2}$
18715	بسّط	(6)^2+2(6)h+h^2+3-(6^2+3)	${(6)}^{2} + 2 (6) h + h^{2} + 3 - (6^{2} + 3)$
18716	بسّط	(6-2x)^2	${(6 - 2 x)}^{2}$
18717	بسّط	(64x^9)^(1/3)	${(64 x^{9})}^{\frac{1}{3}}$
18718	بسّط	(6x+y/2)^3	${(6 x + \frac{y}{2})}^{3}$
18719	بسّط	(6x+1)^2	${(6 x + 1)}^{2}$
18720	بسّط	(u-1)^2	${(u - 1)}^{2}$
18721	بسّط	(u-10)^3	${(u - 10)}^{3}$
18722	بسّط	(t+1)^(2/3)(2t^2-1)^3	${(t + 1)}^{\frac{2}{3}} {(2 t^{2} - 1)}^{3}$
18723	بسّط	(t+1)^2	${(t + 1)}^{2}$
18724	بسّط	(sin(x)sin(y))/(cos(x)cos(y))	$\frac{\sin (x) \sin (y)}{\cos (x) \cos (y)}$
18725	بسّط	(sec(2x)+csc(2x))^2	${(\sec (2 x) + \csc (2 x))}^{2}$
18726	بسّط	(cos(h(3x))-sin(h(3x)))^4	${(\cosh (3 x) - \sinh (3 x))}^{4}$
18727	بسّط	(2x(x^2+1)^(1/2))^2	${(2 x {(x^{2} + 1)}^{\frac{1}{2}})}^{2}$
18728	بسّط	(-2x)/y	$\frac{- 2 x}{y}$
18729	بسّط	(-2x+13)^2	${(- 2 x + 13)}^{2}$
18730	بسّط	(2x+2h)^2-3x-3h	${(2 x + 2 h)}^{2} - 3 x - 3 h$
18731	بسّط	(2x+2y)^3	${(2 x + 2 y)}^{3}$
18732	بسّط	(2-2i)^10	${(2 - 2 i)}^{10}$
18733	بسّط	(27a^-3b^6c^3)^(1/3)	${(27 a^{- 3} b^{6} c^{3})}^{\frac{1}{3}}$
18734	بسّط	(2-cos(x))^2	${(2 - \cos (x))}^{2}$
18735	بسّط	(2x^-2y^3)^-5	${(2 x^{- 2} y^{3})}^{- 5}$
18736	بسّط	(2x^2+x)/x-1	$\frac{2 x^{2} + x}{x} - 1$
18737	بسّط	(2-2x)^2	${(2 - 2 x)}^{2}$
18738	بسّط	(2+h)^3-8	${(2 + h)}^{3} - 8$
18739	بسّط	(2*sin(95))/2.77	$\frac{2 \cdot \sin (95)}{2.77}$
18740	بسّط	(1-t)^2	${(1 - t)}^{2}$
18741	بسّط	(19+19x)^18	${(19 + 19 x)}^{18}$
18742	بسّط	(16x^3+16y^3-12x^2-4y^2+2x-2x)/(2y-16x^2y+16xy^2-8xy)	$\frac{16 x^{3} + 16 y^{3} - 12 x^{2} - 4 y^{2} + 2 x - 2 x}{2 y - 16 x^{2} y + 16 x y^{2} - 8 x y}$
18743	بسّط	(1+(cos(x))/4)^2	${(1 + \frac{\cos (x)}{4})}^{2}$
18744	بسّط	(1+9x^4)^(1/2)	${(1 + 9 x^{4})}^{\frac{1}{2}}$
18745	بسّط	(-1+h)^2	${(- 1 + h)}^{2}$
18746	بسّط	((-1+h)-(-1))/h	$\frac{(- 1 + h) - (- 1)}{h}$
18747	بسّط	(3x^2+10x-8)/(x^2-16)	$\frac{3 x^{2} + 10 x - 8}{x^{2} - 16}$
18748	بسّط	(2x-7)^(-1/2)*(2x-7)^2	${(2 x - 7)}^{- \frac{1}{2}} \cdot {(2 x - 7)}^{2}$
18749	بسّط	(3t^2)^2	${(3 t^{2})}^{2}$
18750	بسّط	(2y+1)^5	${(2 y + 1)}^{5}$
18751	بسّط	(3-4i)^-1	${(3 - 4 i)}^{- 1}$
18752	بسّط	(3-4x)^2	${(3 - 4 x)}^{2}$
18753	بسّط	(512+0)^(-1/3)+(-((512+0)^(-4/3))/3)(x-0)	${(512 + 0)}^{- \frac{1}{3}} + (- \frac{{(512 + 0)}^{- \frac{4}{3}}}{3}) (x - 0)$
18754	بسّط	e^(2 اللوغاريتم الطبيعي لـ x)	$e^{2 \ln (x)}$
18755	بسّط	(4x-y)^4	${(4 x - y)}^{4}$
18756	بسّط	(-4+h)^2	${(- 4 + h)}^{2}$
18757	بسّط	(4x)^(1/2)	${(4 x)}^{\frac{1}{2}}$
18758	بسّط	(4sec(D))/(tan(D)+cot(D))	$\frac{4 \sec (D)}{\tan (D) + \cot (D)}$
18759	بسّط	(5x)/(x^2-7x+10)-4/(x^2-25)	$\frac{5 x}{x^{2} - 7 x + 10} - \frac{4}{x^{2} - 25}$
18760	بسّط	(6.62610^-34)/(1.67310^-272.9110^8)m/s	$\frac{6.626 \cdot 10^{- 34}}{1.673 \cdot 10^{- 27} \cdot 2.91 \cdot 10^{8}} \cdot \frac{m}{s}$
18761	بسّط	-6/(d^2)+c/d	$- \frac{6}{d^{2}} + \frac{c}{d}$
18762	بسّط	(7e^(7x))/(x^2)-(2e^(7x))/(x^3)	$\frac{7 e^{7 x}}{x^{2}} - \frac{2 e^{7 x}}{x^{3}}$
18763	بسّط	(cos(2x))/(sin(2x))	$\frac{\cos (2 x)}{\sin (2 x)}$
18764	بسّط	arctan((x)^2)	$\arctan ({(x)}^{2})$
18765	بسّط	c^2(c-4)	$c^{2} (c - 4)$
18766	بسّط	c^-2-d^-7	$c^{- 2} - d^{- 7}$
18767	بسّط	5/u-1/v	$\frac{5}{u} - \frac{1}{v}$
18768	بسّط	5/w+1/(w^2)	$\frac{5}{w} + \frac{1}{w^{2}}$
18769	بسّط	-7/6-1/(3x)	$- \frac{7}{6} - \frac{1}{3 x}$
18770	بسّط	8/-8	$\frac{8}{- 8}$
18771	بسّط	(9+h)^3	${(9 + h)}^{3}$
18772	بسّط	e^( الجذر التربيعي لـ x)	$e^{\sqrt{x}}$
18773	بسّط	e^((x^2)/2)	$e^{\frac{x^{2}}{2}}$
18774	بسّط	cos(x)^4sin(x)^2	$\cos^{4} (x) \sin^{2} (x)$
18775	بسّط	e^0+sin(0)	$e^{0} + \sin (0)$
18776	بسّط	-csc(x)^2	$- \csc^{2} (x)$
18777	بسّط	cot(135)^2-sin(210)+5cos(225)^2	$\cot^{2} (135) - \sin (210) + 5 \cos^{2} (225)$
18778	بسّط	(2x)/(x^2)	$\frac{2 x}{x^{2}}$
18779	بسّط	(-cot(t)csc(t))/(cos(t))	$\frac{- \cot (t) \csc (t)}{\cos (t)}$
18780	بسّط	(-2+h)^2	${(- 2 + h)}^{2}$
18781	بسّط	(csc(x))/(sec(x))	$\frac{\csc (x)}{\sec (x)}$
18782	بسّط	(cos(2pi))/2-2cos(pi)	$\frac{\cos (2 π)}{2} - 2 \cos (π)$
18783	بسّط	-(cos(x))/(sin(y))	$- \frac{\cos (x)}{\sin (y)}$
18784	بسّط	8^0	$8^{0}$
18785	بسّط	(cos(pi/6))/(pi/6)-(sin(pi/6))/((pi/6)^2)	$\frac{\cos (\frac{π}{6})}{\frac{π}{6}} - \frac{\sin (\frac{π}{6})}{{(\frac{π}{6})}^{2}}$
18786	بسّط	e^(2x)-e^x	$e^{2 x} - e^{x}$
18787	بسّط	e^(3x+1)=100	$e^{3 x + 1} = 100$
18788	بسّط	e^(4x)-e^x	$e^{4 x} - e^{x}$
18789	بسّط	e^(7e^x)*(7e^x)	$e^{7 e^{x}} \cdot (7 e^{x})$
18790	بسّط	-e^xsin(x)+e^xcos(x)	$- e^{x} \sin (x) + e^{x} \cos (x)$
18791	بسّط	e^x-e^(-x)	$e^{x} - e^{- x}$
18792	بسّط	e^xe^(-x)	$e^{x} e^{- x}$
18793	بسّط	e^x(1-1/(e^x))	$e^{x} (1 - \frac{1}{e^{x}})$
18794	بسّط	e^x1/2x^2	$e^{x} \cdot \frac{1}{2} \cdot x^{2}$
18795	بسّط	-e^x-e^x	$- e^{x} - e^{x}$
18796	بسّط	pi/9*(cos(pi)(0.02))	$\frac{π}{9} \cdot (\cos (π) (0.02))$
18797	بسّط	pi/2*(6-2t)	$\frac{π}{2} \cdot (6 - 2 t)$
18798	بسّط	(n(n+1)(2n+1))/6-(n(n+1))/6	$\frac{n (n + 1) (2 n + 1)}{6} - \frac{n (n + 1)}{6}$
18799	بسّط	i^312	$i^{312}$
18800	بسّط	pi/2-1	$\frac{π}{2} - 1$