uprosc wyrazenie i oblicz warosc dla podanego x
(√5+2x)(2x-√5)-(2x-√5)² x=√10
(√5+2x)(2x-√5)-(2x-√5)² =
= (2x+√5)(2x-√5)- (4x² - 4√5x + 5) =
= 4x² - 5 - 4x² + 4√5x + 5 =
= 4√5x
4√5x = 4√5 * √10 = 4√50 = 4√(25*2) =4√(5² * 2) = 20√2
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(√5+2x)(2x-√5)-(2x-√5)² =
= (2x+√5)(2x-√5)- (4x² - 4√5x + 5) =
= 4x² - 5 - 4x² + 4√5x + 5 =
= 4√5x
4√5x = 4√5 * √10 = 4√50 = 4√(25*2) =4√(5² * 2) = 20√2