Transforme as divisões em frações e simplifique quando possível:
a) 10bx : 5ab
b) (2y²- y) : y
c) ( x²- 5x + 6) : ( x - 3)
d) (x - y)² : xy
e) ( 6x + 2xy + y + 3) : ( y + 3)
f) ( 2y- 2x) : (y² - x²)
g) ( m² - 11m + 28) : (m²- 49)
h) ( mx+ nx + ny + my) : ( m² + 2mn + n²)
Soluções para a tarefa
a) 10bx = 2x
5ab a
b) (2y²- y) = y( 2y - 1) ==> 2y -1
y y
=================================================
c) ( x²- 5x + 6) = ( x - 3 )(x - 2 ) ==> x - 2
( x - 3) ( x - 3 )
==================================================
d) (x - y)²
xy
=======================================================
e) 6x + 2xy + y + 3 = 2x( 3 + y) + 1( y + 3 ) ==> (2x+1)(y+3) ==> 2x + 1
( y + 3) y + 3 y + 3
=========================================================
f) ( 2y- 2x) = 2( y - x ) = 2
(y² - x²) (y+x)(y-x) y + x
=========================================================
g) ( m² - 11m + 28) = ( m - 4)(m - 7 ) = m - 4
(m²- 49) (m + 7 )(m - 7) m + 7
===============================================
h) mx+ nx + ny + my = x(m + n) + y(m + n) = ( x + y)(m + n ) ==> x + y
m² + 2mn + n² (m + n)(m + n ) (m + n)(m + n ) m + n
Resposta:
a) 10bx = 2x
5ab a
b) (2y²- y) = y( 2y - 1) ==> 2y -1
y y
=================================================
c) ( x²- 5x + 6) = ( x - 3 )(x - 2 ) ==> x - 2
( x - 3) ( x - 3 )
==================================================
d) (x - y)²
xy
=======================================================
e) 6x + 2xy + y + 3 = 2x( 3 + y) + 1( y + 3 ) ==> (2x+1)(y+3) ==> 2x + 1
( y + 3) y + 3 y + 3
=========================================================
f) ( 2y- 2x) = 2( y - x ) = 2
(y² - x²) (y+x)(y-x) y + x
=========================================================
g) ( m² - 11m + 28) = ( m - 4)(m - 7 ) = m - 4
(m²- 49) (m + 7 )(m - 7) m + 7
===============================================
h) mx+ nx + ny + my = x(m + n) + y(m + n) = ( x + y)(m + n ) ==> x + y
m² + 2mn + n² (m + n)(m + n ) (m + n)(m + n ) m + n
Explicação passo a passo: