Question

Aplique as regras dos produtos notáveis:
a) ( x – 9 )2 =
b) ( 3a + 4 )2 =
c) ( 5y – 3 )2 =
d) ( 2x2 + 4 )2 =
e) ( 6a – 7b ) ( 6a + 7b ) =
f) ( 10x + 4y ) ( 10x – 4y )=
g) ( 3m3 – 1 )2 =
h) ( 2c + )2 =
i) ( - 7x3 )2 =
j)( 12 - a b3 ) 2 =

Answer 1

a) (x - 9)² = (x - 9) . (x - 9)

= x² - 9x - 9x + 81

= x² - 18x + 81

b) (3a + 4)² = (3a + 4) . (3a + 4)

= 9a² + 12a + 12a + 16

= 9a² + 24a + 16

c) (5y - 3)² = (5y - 3) . (5y - 3)

= 25y² - 15y - 15y + 9

= 25y² - 30y + 9

d) (2x² + 4)² = (2x² + 4) . (2x² + 4)

= 2x*4 + 8x² + 8x² + 16

= 2x*4 + 16x² + 16

e) (6a – 7b) . (6a + 7b)

= 36a² + 42a - 42a - 49b²

= 36a² - 49b²

f) (10x + 4y) . (10x – 4y)

= 100x² - 40xy + 40xy - 16y²

= 100x² - 16y²

g) (3m3 – 1)² = (3m3 - 1) . (3m3 - 1)

= 9m9 - 3m3 - 3m3 + 1

= 9m9 - 6m3 + 1

h) ( 2c )² = ( 2c ) . ( 2c ) = 4c²

i) ( - 7x3 )² = ( - 7x3) . ( - 7x3 ) = 49x6

j) ( 12 - ab3 )² = ( 12 - ab3 ) . ( 12 - ab3 )

= 144 - 12ab3 - 12ab3 + (ab3)²

= 144 - 24ab3 + ab6

Answer 2

a) (x-9)2 = 2x - 18

b) (3a+4)2 = 6a + 8

c) (5y-3)2 = 10y - 6

d) (2x²+4)2 = 4x² + 4

e) (6a-7b)(6a+7b) = 18a² + 42ab - 42ab - 49b² >>> 18a² - 49b²

f) (10x+4y)(10x-4y) = 100x² - 16y² + 40xy - 4y² >>> 100x² - 20y² + 40xy

g) (3m³-1)2 = 6m³ - 2

h) (2c)2 = 4c²

i) (-7x³)2 = -14x³

j) (12-ab³)2 = -2ab³ + 24

Espero ter ajudado ^^!