ALGEBARSKI IZRAZI
kvadrat zbroja - MIM-Sraga
kvadrat zbroja - MIM-Sraga
You also want an ePaper? Increase the reach of your titles
YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.
M-1-Kvadrat binoma<br />
Rješenja i kompletni postupak<br />
34. ( ) ( )<br />
2<br />
( a b ) ( a ) a b ( b )<br />
2<br />
2 2 2 3 3⋅2<br />
= 3 ( a ) − 6a b + b =<br />
2 2 2 2 2<br />
Kvadriramo po pravilu: A+ B = A + 2⋅A⋅ B+ B i A− B = A −2⋅A⋅ B+<br />
B<br />
2 3 2 2 2 3 3 2<br />
52) 3 − = 3 −2⋅3⋅ ⋅ + =<br />
= 9a − 6a b + b = 9a − 6a b + b<br />
22 ⋅ 2 3 6 4 2 3 6<br />
2<br />
2<br />
( a b ) ( a ) a b ( b )<br />
2 3<br />
2<br />
3 2 2⋅2<br />
= 2 ( a ) − 4a b + b =<br />
3 2 3 2 3 2 2 2<br />
53) 2 − = 2 −2⋅2⋅ ⋅ + =<br />
32 ⋅ 3 2 4<br />
= 4a − 4a b + b =<br />
= 4a − 4a b + b<br />
6 3 2 4<br />
( a b ) ( a ) a b ( b )<br />
32 ⋅ 3 2 2 2 2<br />
= a − 10a b + 5 ( b ) =<br />
3 2 2 3 2 3 2 2 2<br />
54) − 5 = −2⋅ ⋅5⋅ + 5 =<br />
= a − 10a b + 25b<br />
6 3 2 4<br />
( x y ) ( x ) x y ( y )<br />
2 3 2 3 3 2 3 2<br />
2 ( x ) 12x y 3 ( y )<br />
3 3 2 3 2 3 3 3 2<br />
55) 2 + 3 = 2 + 2⋅2⋅ ⋅3⋅ + 3 =<br />
= + + =<br />
x x y y<br />
32 ⋅ 3 3 32 ⋅<br />
= 4 + 12 + 9 =<br />
= 4x + 12x y + 9y<br />
6 3 3 6<br />
( x y ) ( x ) x y ( y )<br />
2 4 2 4 5 2 5 2<br />
= 3 ( x ) 42x y 7 ( y )<br />
4 5 2 4 2 4 5 5 2<br />
56) 3 + 7 = 3 + 2⋅3⋅ ⋅7⋅ + 7 =<br />
+ + =<br />
x x y y<br />
42 ⋅<br />
4 5 52 ⋅<br />
= 9 + 42 + 49 =<br />
= 9x + 42x y + 49y<br />
8 4 5 10<br />
2 3 2 2 2 3 2 2 3 2 2 2<br />
( xy− z) = ( xy) − ⋅ ⋅x⋅y⋅ ⋅ z + ( z)<br />
=<br />
2 ( x ) ( y ) 4 3 x y z 3 ( z )<br />
57) 2 3 2 2 2 3 3<br />
2 2 2 3 2 2 3 2 2 2 2<br />
= − ⋅ ⋅ ⋅ ⋅ + =<br />
x y x y z z<br />
22 ⋅ 32 ⋅ 2 3 2 22 ⋅<br />
= 4 − 12 + 9 =<br />
= 4xy − 12xyz + 9z<br />
4 6 2 3 2 4<br />
M.I.M.-Sraga -2003./2013.<br />
www.mim-sraga.com<br />
12<br />
© M.I.M-Sraga centar za poduku<br />
mim-sraga@zg.htnet.hr<br />
tel-01-4578-431
Change language