Question

efetue as multiplicacaoes:
A)- (a + 5)(a2 + 3a + 2) =

B)- (x2 - x + 3)(x2 - 4x + 1) =

C)- (3x - y)(x + y - 2) =

D)- (x2 - 2x + 1)2 =

pfvr
Me ajudem

Answer 1

a)
 
= (a + 5).(a² + 3a + 2) 
= a³ + 3a² + 2a + 5a² + 15a + 10
= a² + 8a² + 17a + 10

¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨
B)
= (x² - x + 3).(x² - 4x + 1)

= x².x² + x².(- 4x) + x².1 - x.x² - x.(-4x) - x.1 + 3x² + 3.(-4x) + 3.1

= x⁴ - 4x³ + x² - x³ + 4x² - x + 3x² - 12x + 3

= x⁴ - 5x³ + 8x² - 13x + 3

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C)
= (3x - y).(x + y - 2)

= 3x.x + 3x.y + 3x.(-2) - x.y - y.y - 2.(-y)

= 3x² + 3xy - 6x - xy - y² + 2y

= 3x² - y² + 2xy - 6x - 2y

¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨
D)
= (x² - 2x + 1)² 

= (x² - 2x + 1).(x² - 2x + 1)

= x².x² + x².(- 2x) + x².1 - 2x.x² - 2x.(-2x) - 2x.1 + x² - 2x + 1

= x⁴ - 2x³ + x² - 2x³ + 4x² - 2x + x² - 2x + 1

= x⁴ - 2x³ - 2x³ + x² + 4x² + x² - 2x - 2x + 1

= x⁴ - 4x³ + 6x² - 4x + 1