-16ab+8(a+b)^2 при а=V14, b=V15

Question

-16ab+8(a+b)^2 при а=V14, b=V15

Answer 1

- 16ab + 8( a + b )^2 = - 16ab + 8( a^2 + 2ab + b^2 ) = - 16ab + 8a^2 + 16ab + 8b^2 = 8a^2 + 8b^2 = 8( a^2 + b^2 )
a = V 14 ; b = V 15
8( ( V 14 )^2 + ( V 15 )^2 ) = 8( 14 + 15 ) = 8 • 29 = 232

Comments

Спасибо большое