III gimnazjum

Matematyka wokół nas 3

a)&nbsp; x2+2xy+y2=(x+y)2 b)&nbsp; 1+2a+a2=(1+a)2

a)&nbsp; 4x2+16x+16=(2x+4)2 b)&nbsp; 9p2−12pq+4q2=(3p−2q)2

a)&nbsp; x2−9=(x−3)(x+3) b)&nbsp; 4−a2=(4−a)(4+a) c)&nbsp; m2−16=(m−4)(m+4) d)&nbsp; 169−b2=(13−b)(13+b)

a)&nbsp; 12x−4y=4(3x−y) b)&nbsp; abc2+bc2d=bc2(a+d)

a)&nbsp; −16x2y2−16x2yz−4x2z2=−(4xy+2xz)2 b) 72a2+48ab+8b2=2⋅(36a2+24ab+4b2)=2⋅(6a+2b)2

a)&nbsp; 8x3−8x2y+2xy2=2x⋅(4x2−4xy+y2)=2⋅(2x−y)2 b)&nbsp; x3+2x2y+xy2=x(x2+2xy+y2)=x(x+y)2