Question

URGENT!! Dau coroana!!!

$(x + 5) ^{3} - x - 5 = (x + 4)(x + 5)(x + 6)$

Answer 1

Răspuns:

Explicație pas cu pas:

( x + 5 )³ - x - 5 = ( x² + 9 x + 20 ) ( x + 6 )

x³+15 x²+75 x +1 25 - x - 5 = x³+9 x²+ 20 x + 6 x² + 54 x + 120

x³ + 15 x² + 74 x + 120 = x³ + 15 x² + 74 x + 120  ( Adevarat)

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( x + 5 )³ - ( x + 5 ) = ( x + 4 ) ( x + 5 ) ( x + 6 )

( x + 5 ) [( x + 5)² - 1]= ( x + 5 )[ ( x + 4 ) ( x + 6 )  l (x + 5)

x² + 10 x + 25 - 1  = x² + 4 x + 6 x + 24

x²+ 10 x + 24 = x² + 10 x + 24  ( Adevarat) √