Question

Efectuar (√x+3) (√x-3) (x+9) + (x+8) (8-x)

-15

-17

-14

-16

Answer 1

Respuesta:

Explicación paso a paso:

Tip: Aplicamos el producto notable:

(a + b) . (a - b) = a² - b²

Entonces tendremos:

= (√x + 3) . (√x - 3) . (x + 9) + (x + 8) . (8 - x)

= [ (√x )² - (3)² ] . (x + 9) + (8 + x) . (8 - x)

= (x - 9) . (x + 9) + [ (8)² - (x)² ]

= [ (x)² - (9)² ] + (64 - x²)

= (x² - 81) + (64 - x²)

= x² - 81 + 64 - x²

= - 81 + 64

= -17