Question

1) Fatore por agrupamento os polinômios:
a)BX²-2BY+5X²-10Y
b)A¹²+A^8+-A⁴-1
c)1/2+1/2X+XY+Y

Answer 1

a
(bx² - 2by)  + (5x² -10y )= b ( x² - 2y) + 5( x² - 2y) =   ( b + 5) ( x² - 2y)
b
(a¹² + a⁸)  - (a⁴ - 1)  =  a⁸ ( a⁴ + 1 ) -  1 ( a⁴ + 1 ) = ( a⁸ - 1 ) ( a⁴ + 1 ) =
( a⁴ + 1) ( a⁴ - 1) ( a⁴ + 1 )
c
(1/2 + 1/2 x ) + ( y + xy ) =1/2 ( 1 + x ) + y ( 1 + x ) = (1/2 + y)( 1 + x)