Question

Преобразуйте выражение (2√2+3√3)(2√2-3√3)= (5√7-13)(5√7+13)=

Answer 1

$(2\sqrt{2}+3\sqrt{3})(2\sqrt{2}-3\sqrt{3})=(2\sqrt{2})^{2}-(3\sqrt{3})^{2}=4*2-9*3=$$=8-27=-19$

$(5\sqrt{7}-13)(5\sqrt{7}+13)=(5\sqrt{7})^{2}-13^{2}=25*7-169=175-169=6$

Answer 2

(2√2+3√3)(2√2-3√3)= (2√2)2+ 3√3*2√2- 3√3*2√2-(3√3)2=8-27=-19

(5√7-13)(5√7+13)= (5√7)2-132=25*7-169=6