Rabu, 18 September 2013

Matematika Teknik 1

1.       Sederhankanlah
a.       J12      =   (J4)3 = 13
= 1
b.      J10    =   (J4)2 . J 
= 12 . (-1)
= -1
c.       J23      =   (J4)5 . J3  
= 15 . J2 . J1
= 1 . (-1)
= -1
2.       Sederhanakanlah
a.       (5 – J9) – (2 – J6) + (3 – J4)    =             5 – J9 – 2 + J6 + 3 – J4
=             (5 – 2 + 3) + J (6 - 9 – 4)
=             6 – J7
b.      (6 – J3) (2 + J5) (6 – J2)           =             (12 + J30 – J6 – J215) (6 – J2)
=             (12 + J24 – J215) (6 – J2)
=             72 – J24 + J144 – J248 – J290 + J330
=             72 – J120 – J2128 + J330

c.        (4 – J3)2                                                   =             (4 – J3) (4 – J3)
=             16 – J12 – J12 + J29
=             16 – 24J + J29

d.      (5 – J4) (5 + J4)                          =             25  + J20 – J20 – J216
=             25 – J216
=             25 – (-1) 16
=             25 + 16

=             41


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