II gimnazjum

Matematyka z plusem 2

a) (k+2)2=k2+2⋅2⋅k+22=k2+4k+4

a) (b−1)2=b2−2⋅b⋅1+12=b2−2b+1 b) (5−x)2=52−2⋅5⋅x+x2=25−10x+x2

<img style="vertical-align: middle;" src="../../../math/formula?%5Cdisplaystyle%7Ba%7D%7B%5C)%7D%5C%20%7B%7B102%7D%7D%5E%7B%7B2%7D%7D%3D%7B%7B%5Cleft(%7B100%7D%2B%7B2%7D%5Cright)%7D%7D%5E%7B%7B2%7D%7D%3D%7B%7B100%7D%7D%5E%7B%7B2%7D%7D%2B%7B2%7D%5Ccdot%7B100%7D%5Ccdot%7B2%7D%2B%7B%7B2%7D%7D%5E%7B%7B2%7D%7D%3D%7B10000%7D%2B%7B400%7D%2B%7B4%7D%3D%7B10404%7D"> b) 992=(100−1)2=1002−2⋅100⋅1−12=10000−200+1=9801

a) (x+3y)2−9y2=x2+6xy+9y2−9y2=x2+6xy

a) 21​⋅(x−y)⋅(x−y)=21​⋅(x−y)2=21​⋅(x2−2xy+y2)=21​x2−xy+21​y2

Komentarze