Prosze o zrobienie chociaż 4 przykładów, za wszystkie dam naj. :)
a)
b)
c)
d)
e)
f)
g)
h)
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a)![6a+3a^{2}-2b-ab = 3a(2+a)-b(2+a) = (3a-b)(2+a) 6a+3a^{2}-2b-ab = 3a(2+a)-b(2+a) = (3a-b)(2+a)](https://tex.z-dn.net/?f=6a%2B3a%5E%7B2%7D-2b-ab+%3D+3a%282%2Ba%29-b%282%2Ba%29+%3D+%283a-b%29%282%2Ba%29)
b)![21x+7x^{2}-xy-3y = 7x(3+x)-y(x+3) = (7x-y)(x+3) 21x+7x^{2}-xy-3y = 7x(3+x)-y(x+3) = (7x-y)(x+3)](https://tex.z-dn.net/?f=21x%2B7x%5E%7B2%7D-xy-3y+%3D+7x%283%2Bx%29-y%28x%2B3%29+%3D+%287x-y%29%28x%2B3%29)
c)![q^{2}-qp^{2}-3pq+3p^{3}=q^{2}-3pq-qp^{2}+3p^{3} = q^{2}-qp^{2}-3pq+3p^{3}=q^{2}-3pq-qp^{2}+3p^{3} =](https://tex.z-dn.net/?f=q%5E%7B2%7D-qp%5E%7B2%7D-3pq%2B3p%5E%7B3%7D%3Dq%5E%7B2%7D-3pq-qp%5E%7B2%7D%2B3p%5E%7B3%7D+%3D+)
![q(q-3p) - p^{2}(q-3p) = (q-p^{2})(q-3p) q(q-3p) - p^{2}(q-3p) = (q-p^{2})(q-3p)](https://tex.z-dn.net/?f=q%28q-3p%29+-+p%5E%7B2%7D%28q-3p%29+%3D+%28q-p%5E%7B2%7D%29%28q-3p%29)
d)![yx^{2}+y^{3}+2xy^{2}+2x^{3} = yx^{2}+2x^{3}+y^{3}+2xy^{2}= yx^{2}+y^{3}+2xy^{2}+2x^{3} = yx^{2}+2x^{3}+y^{3}+2xy^{2}=](https://tex.z-dn.net/?f=yx%5E%7B2%7D%2By%5E%7B3%7D%2B2xy%5E%7B2%7D%2B2x%5E%7B3%7D+%3D+yx%5E%7B2%7D%2B2x%5E%7B3%7D%2By%5E%7B3%7D%2B2xy%5E%7B2%7D%3D)
![x^{2}(y+2x)+y^{2}(y+2x) = (x^{2}+y^{2})(y+2x) x^{2}(y+2x)+y^{2}(y+2x) = (x^{2}+y^{2})(y+2x)](https://tex.z-dn.net/?f=x%5E%7B2%7D%28y%2B2x%29%2By%5E%7B2%7D%28y%2B2x%29+%3D+%28x%5E%7B2%7D%2By%5E%7B2%7D%29%28y%2B2x%29)
e)![14r^{2}+21r - 2rs-3s = 7r(2r+3)-s(2r+3) = (7r-s)(2r+3) 14r^{2}+21r - 2rs-3s = 7r(2r+3)-s(2r+3) = (7r-s)(2r+3)](https://tex.z-dn.net/?f=14r%5E%7B2%7D%2B21r+-+2rs-3s+%3D+7r%282r%2B3%29-s%282r%2B3%29+%3D+%287r-s%29%282r%2B3%29)
f)![-t^{4}+2zt-8zt^{3}+16z^{2} = 2zt + 16z^{2} -8zt^{3}-t^{4}=2z(t+8z)-t^{3}(8z+t) -t^{4}+2zt-8zt^{3}+16z^{2} = 2zt + 16z^{2} -8zt^{3}-t^{4}=2z(t+8z)-t^{3}(8z+t)](https://tex.z-dn.net/?f=-t%5E%7B4%7D%2B2zt-8zt%5E%7B3%7D%2B16z%5E%7B2%7D+%3D+2zt+%2B+16z%5E%7B2%7D+-8zt%5E%7B3%7D-t%5E%7B4%7D%3D2z%28t%2B8z%29-t%5E%7B3%7D%288z%2Bt%29)
![=(2z-t^{3})(8z+t) =(2z-t^{3})(8z+t)](https://tex.z-dn.net/?f=%3D%282z-t%5E%7B3%7D%29%288z%2Bt%29)
g)![-3pq^{2}+2rp^{2}+3p^{3}-2rq^{2} = -3pq^{2}-2rq^{2}+2rp^{2}+3p^{3} = -3pq^{2}+2rp^{2}+3p^{3}-2rq^{2} = -3pq^{2}-2rq^{2}+2rp^{2}+3p^{3} =](https://tex.z-dn.net/?f=-3pq%5E%7B2%7D%2B2rp%5E%7B2%7D%2B3p%5E%7B3%7D-2rq%5E%7B2%7D+%3D+-3pq%5E%7B2%7D-2rq%5E%7B2%7D%2B2rp%5E%7B2%7D%2B3p%5E%7B3%7D+%3D+)
![-q^{2}(3p+2r)+p^{2}(2r+3p) = (p^{2}-q^{2})(2r+3p) -q^{2}(3p+2r)+p^{2}(2r+3p) = (p^{2}-q^{2})(2r+3p)](https://tex.z-dn.net/?f=-q%5E%7B2%7D%283p%2B2r%29%2Bp%5E%7B2%7D%282r%2B3p%29+%3D+%28p%5E%7B2%7D-q%5E%7B2%7D%29%282r%2B3p%29)
h)![12-8x-15z+10xz = 4(3-2x)-5z(3-2x)=(4-5z)(3-2x) 12-8x-15z+10xz = 4(3-2x)-5z(3-2x)=(4-5z)(3-2x)](https://tex.z-dn.net/?f=12-8x-15z%2B10xz+%3D+4%283-2x%29-5z%283-2x%29%3D%284-5z%29%283-2x%29)