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M-1-Razlika kvadrata<br />
Rješenja i kompletni postupak<br />
2 3 2 3 2 2 3 2<br />
( x − y )( x + y ) = ( x ) − ( y ) =<br />
4 ( x ) 3 ( y )<br />
2 2 2 2 3 2<br />
= ⋅ − ⋅ =<br />
22 ⋅ 32 ⋅<br />
= ⋅ − ⋅ =<br />
4 6<br />
( )( )<br />
7. Koristimo formulu za razliku kvadrata: A− B A+ B = A −B<br />
38) 4 3 4 3 4 3<br />
16 x 9 y<br />
= 16x<br />
−9y<br />
2 2<br />
2 3 4 2 3 4 2 3 2 4 2<br />
( xy− z)( xy+ z) = ( xy) − ( z)<br />
=<br />
2 ( x ) ( y ) 3 ( z )<br />
39) 2 3 2 3 2 3<br />
2 2 2 3 2 2 4 2<br />
= ⋅ ⋅ − ⋅ =<br />
4 x y 9 z<br />
22 ⋅ 32 ⋅ 42 ⋅<br />
= ⋅ ⋅ − ⋅ =<br />
4<br />
= 4x<br />
y<br />
− 9z<br />
6 8<br />
3 2 5 3 2 5 3 2 2 5 2<br />
( ab − c )( ab + c ) = ( ab ) − ( c ) =<br />
4 ( a ) ( b ) 7 ( c )<br />
40) 4 7 4 7 4 7<br />
2 3 2 2 2 2 5 2<br />
= ⋅ ⋅ − ⋅ =<br />
16 a b 49 c<br />
32 ⋅ 22 ⋅ 52 ⋅<br />
= ⋅ ⋅ − ⋅ =<br />
= 16ab<br />
−49c<br />
6 4 10<br />
3 2 3 2 3 2 2 2<br />
( xy− z)( xy+ z) = ( xy) − ( z)<br />
=<br />
3 ( x ) y 3 ( z )<br />
41) 3 3 3 3 3 3<br />
2 3 2 2 2 2 2<br />
= ⋅ ⋅ − ⋅ =<br />
9x y 9z<br />
32 ⋅ 2 22 ⋅<br />
= ⋅ − =<br />
= 9xy<br />
−9z<br />
6 2 4<br />
5 3 5 3 5 2 3 2<br />
( x − y z)( x + y z) = ( x ) −( y z)<br />
9 ( ) 11 ( )<br />
42) 9 11 9 11 9 11<br />
x y z<br />
2 5 2 2 3 2 2<br />
= ⋅ − ⋅ ⋅ =<br />
81 x 121 y z<br />
52 ⋅<br />
32 ⋅ 2<br />
= ⋅ − ⋅ ⋅ =<br />
= 81x<br />
−121y z<br />
10 6 2<br />
=<br />
M I M <strong>Sraga</strong> 2005<br />
8
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