Issolvi left(cos(x)+sin(x)right)^2+left(cos(x)-sin(x)right)^2

$${ \left( \cos ( x ) + \sin ( x ) \right) }^{ 2 } + { \left( \cos ( x ) - \sin ( x ) \right) }^{ 2 }$$

Fattur

$$2$$

Passi tas-Soluzzjonijiet

Uża teorema binomjali \left(a+b\right)^{2}=a^{2}+2ab+b^{2} biex tespandi \left(\cos(x)+\sin(x)\right)^{2}.

$$factor(\left(\cos(x)\right)^{2}+2\cos(x)\sin(x)+\left(\sin(x)\right)^{2}+\left(\cos(x)-\sin(x)\right)^{2})$$

Uża teorema binomjali \left(a-b\right)^{2}=a^{2}-2ab+b^{2} biex tespandi \left(\cos(x)-\sin(x)\right)^{2}.

$$factor(\left(\cos(x)\right)^{2}+2\cos(x)\sin(x)+\left(\sin(x)\right)^{2}+\left(\cos(x)\right)^{2}-2\cos(x)\sin(x)+\left(\sin(x)\right)^{2})$$

Ikkombina \left(\cos(x)\right)^{2} u \left(\cos(x)\right)^{2} biex tikseb 2\left(\cos(x)\right)^{2}.

$$factor(2\left(\cos(x)\right)^{2}+2\cos(x)\sin(x)+\left(\sin(x)\right)^{2}-2\cos(x)\sin(x)+\left(\sin(x)\right)^{2})$$

Ikkombina 2\cos(x)\sin(x) u -2\cos(x)\sin(x) biex tikseb 0.

$$factor(2\left(\cos(x)\right)^{2}+\left(\sin(x)\right)^{2}+\left(\sin(x)\right)^{2})$$

Ikkombina \left(\sin(x)\right)^{2} u \left(\sin(x)\right)^{2} biex tikseb 2\left(\sin(x)\right)^{2}.

$$factor(2\left(\cos(x)\right)^{2}+2\left(\sin(x)\right)^{2})$$

Iffattura 'l barra 2.

$$2\left(\left(\cos(x)\right)^{2}+\left(\sin(x)\right)^{2}\right)$$

Evalwa

$$2$$