Ответ:
5a(3a-8)-3b(3a-8)+9ab(3a-8)-(3a-8)=(3a-8)*(5a-3b+9ab-1)
2) 7y(7x-y)+x(7x-y)-7xy(7x-y)+(7x-y)=(7x-y)*(7yx+x-7xy+1)
3) (a+b)^{2}(x+y)-x(a+b)^{2} -y(a+b)^{2}+(a+b)^{2}=(a+b)^{2}(x+y-x-y+1)=(a+b)^{2}*1=(a+b)^{2}(a+b)
2
(x+y)−x(a+b)
2
−y(a+b)
2
+(a+b)
2
=(a+b)
2
(x+y−x−y+1)=(a+b)
2
∗1=(a+b)
2
4) m(m+n^{3})-n^{3}(m+n^{3})+n(m+n^{3})-m^{3}(m+n^{3})=(m+n^{3})(m-n^{3}+n-m^{3})m(m+n
3
)−n
3
(m+n
3
)+n(m+n
3
)−m
3
(m+n
3
)=(m+n
3
)(m−n
3
+n−m
3
)
1) 4b(7-8a)+a(8a-7)-(14-16a)+(7-8a)ab=4b(7-8a)-a(7-8a)-2(7-8a)+ab(7-8a)=(7-8a)(4b-a-2+ab)
2) 3x(5y-4)-y(4-5y)+(15y-12)-3xy(4-5y)=3x(5y-4)+y(5y-4)+3(5y-4)+3xy(5y-4)=(5y-4)(3x+y+3+3xy)
3) mn(m-3n)-m(m-3n)-n(m-3n)+8(6n-2m)=mn(m-3n)-m(m-3n)-n(m-3n)-8*2(m-3n)=(m-3n)(mn-m-n-16)mn(m−3n)−m(m−3n)−n(m−3n)+8(6n−2m)=mn(m−3n)−m(m−3n)−n(m−3n)−8∗2(m−3n)=(m−3n)(mn−m−n−16)........... Вот
Ответ:
1) 5a(3a-8)-3b(3a-8)+9ab(3a-8)-(3a-8)=(3a-8)*(5a-3b+9ab-1)
2) 7y(7x-y)+x(7x-y)-7xy(7x-y)+(7x-y)=(7x-y)*(7yx+x-7xy+1)
3)![](https://znanija.pro/tex?%28a%2Bb%29%5E%7B2%7D%28x%2By%29-x%28a%2Bb%29%5E%7B2%7D%20-y%28a%2Bb%29%5E%7B2%7D%2B%28a%2Bb%29%5E%7B2%7D%3D%28a%2Bb%29%5E%7B2%7D%28x%2By-x-y%2B1%29%3D%28a%2Bb%29%5E%7B2%7D%2A1%3D%28a%2Bb%29%5E%7B2%7D)
4)![](https://znanija.pro/tex?m%28m%2Bn%5E%7B3%7D%29-n%5E%7B3%7D%28m%2Bn%5E%7B3%7D%29%2Bn%28m%2Bn%5E%7B3%7D%29-m%5E%7B3%7D%28m%2Bn%5E%7B3%7D%29%3D%28m%2Bn%5E%7B3%7D%29%28m-n%5E%7B3%7D%2Bn-m%5E%7B3%7D%29)
1) 4b(7-8a)+a(8a-7)-(14-16a)+(7-8a)ab=4b(7-8a)-a(7-8a)-2(7-8a)+ab(7-8a)=(7-8a)(4b-a-2+ab)
2) 3x(5y-4)-y(4-5y)+(15y-12)-3xy(4-5y)=3x(5y-4)+y(5y-4)+3(5y-4)+3xy(5y-4)=(5y-4)(3x+y+3+3xy)
3)![](https://znanija.pro/tex?mn%28m-3n%29-m%28m-3n%29-n%28m-3n%29%2B8%286n-2m%29%3Dmn%28m-3n%29-m%28m-3n%29-n%28m-3n%29-8%2A2%28m-3n%29%3D%28m-3n%29%28mn-m-n-16%29)
Пошаговое объяснение: