Автор - andryushenkasarychev

Решите пожалуйста. За ответ 52 бала

Ответ

Проверено экспертом

Автор - maymr

 frac{(a + b) {}^{2} }{a {}^{2}  + b {}^{2} }  +  frac{(a - b) {}^{2} }{a {}^{2} +  b {}^{2} }  =  \  \  =  frac{(a + b) {}^{2}  + (a - b) {}^{2} }{a {}^{2}  + b {}^{2} }  =  \  \  =  frac{a {}^{2}  + 2ab + b {}^{2}  + a {}^{2} - 2ab + b {}^{2}  }{a {}^{2}  + b {}^{2} }  =  \  \  =  frac{2a {}^{2}  + 2b {}^{2} }{a {}^{2}  + b {}^{2} }  =  \  \  =  frac{2(a {}^{2}  + b {}^{2} )}{a {}^{2}  + b {}^{2} }  =  \  \  = 2

Ответ: 2

Ответ

Проверено экспертом

Автор - Universalka

frac{(a+b)^{2}} {a^{2}+b^{2}}+ frac{(a-b)^{2}} {a^{2}+b^{2}} = frac{a^{2}+2ab+b^{2}+ {a^{2}-2ab+b^{2}}} {a^{2}+b^{2}} = frac{2(a^{2}+b^{2})}{a^{2} +b^{2}} =2

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