Question

Calcule os seguguintes produtos:
( 2x - 3 ) ( 2x + 3) =
(x + 1 )³ =

Answer 1

a)
= ( 2x - 3 ) ( 2x + 3)

= 2x.2x + 3.2x - 3.2x - 3.3

= 4x² + 6x - 6x - 9

= 4x² - 9
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b)
= (x + 1 )³

= (x + 1)².(x + 1)

= (x² + 2x + 1).(x + 1)

= x³ + x² + 2x² + 2x + x + 1

= x³ + 3x² + 3x + 1

Answer 2

1)
$( 2x - 3 ) ( 2x + 3) 2x.2x + 3.2x - 3.2x - 3.3 \\ 4 x^{2} + 6x - 6x - 9 = 4 x^{2} - 9$

2)
$(x + 1 ) ^{3} (x + 1) ^{2} .(x + 1) ( x^{2} + 2x + 1).(x + 1) x^{3} + x^{2} + 2 x^{2} + 2x + x + 1 = x^{3} + 3 x^{2} + 3x + 1$