Question

разложить множители. ​

Answer 1

$1)\ \ a^2-3=(a-\sqrt3)(a+\sqrt3)\\\\2)\ \ b^2-2c^2=(b-c\sqrt2)(b+c\sqrt2)\\\\3)\ \ -12x^2+13=(\sqrt{13}-x\sqrt{12})(\sqrt{13}+x\sqrt{12})=(\sqrt{13}-2x\sqrt{3})(\sqrt{13}+2x\sqrt{3})\\\\4)\ \ \dfrac{m^2}{5}-\dfrac{n^2}{14}=\Big(\dfrac{m}{\sqrt5}-\dfrac{n}{\sqrt{14}}\Big)\Big(\dfrac{m}{\sqrt5}+\dfrac{n}{\sqrt{14}}\Big)=\Big(\dfrac{m\sqrt5}{5}-\dfrac{n\sqrt{14}}{14}\Big)\Big(\dfrac{m\sqrt5}{5}+\dfrac{n\sqrt{14}}{14}\Big)$