Question

Descompuneti in factori:
a) ax-bx+ay-by=
b) (3-a) (b-4)-b-+4=
c) x^3 + x^2 -9x -9=
d) x^2 +3x+2=
e) x^2 +8x+15=
f) x^2-7x+12=
g) x^2+8x-33=

Dau COROANA!!!

Answer 1

a ) a x - b x + a y - b y = x ( a - b ) + y ( a - b ) = ( a - b ) ( x + y )

b ) ( 3 - a ) ( b - 4 ) - b + 4 = 3 b - ab - 12 + 4 a - b + 4 =

= 2 b - ab + 4 a - 8 = b ( 2 - a ) - 4 ( 2 - a ) = ( 2 - a ) ( b - 4 )

c)

x³ + x² - 9 x - 9 = x² ( x + 1 ) - 9 ( x + 1 ) = ( x + 1 ) ( x² - 9 ) = ( x + 1 ) ( x - 3 ) ( x + 3²)

d)

x² + 3 x + 2 = x² + x + 2 x + 2 = x ( x + 1 ) + 2 ( x + 1 ) = ( x + 1 ) ( x + 2 )

e)

x² + 8 x + 15 = x² + 3 x + 5 x + 15 = x ( x + 3 ) + 5 ( x + 3 ) = ( x + 3 ) ( x + 5 )

f )

x² - 7 x + 12 = x² - 3 x - 4 x + 12 = x ( x - 3 ) - 4 ( x - 3 ) = ( x - 3 ) ( x - 4 )

g )

x² + 8 x - 33 = x² + 11 x - 3 x - 33 = x ( x + 11 ) - 3 ( x + 11 ) = ( x + 11 ) ( x - 3 )