1. ax+bx+cx=x(a+b+c)
2. −ax+bx+cx=x(−a+b+c)
3. a³−2a²−a=a(a²−2a−1)
4. m⁴+3m³−m²= m²(m²+3m−1)
5. −2a−ax+ay=a(−2−x+y)
6. 5x²−10xy+5y²=5(x²−2xy+y²)
7. 5x−15xy+10ax=5x(1−3y+2a)
8. 3ab+9ac−12ad=3a(b+3c−4d)
9. 4a²b+a²b²−ab=ab(4a+ab−1)
10. 6a³x−a²x−a³b³=a(6a²x−ax−a²b³)
11. 15x³y²+10x²y−20x³y³=6x²y(3xy+2-4xy²)

1. (x+2)⋅5=5x+10 1. (x+2)(x-3)=x²−x−6
2. 6(3y-4)= 18y-24 2. (5x+1)(2x+4)=10x²+22x+4
3. (2m+3n)⋅7=14m+21n 3. (3b+2)(4−b)=−3b²+10b+8
4. c(2a+5b)=2ac+5bc 4. (2y−5)(4y-3)=8y²−26y+15
5. -4a(3b-2a)=-12ab+8² 5. (3a+4)(2a−3)= 6a²−a−12

1. (m+n)(m−n)=m²−n² 1. 2x+2y=2(x+y)
2. (p−q)(p+q)=p²−q² 2. 5m-5n=5(m−n)
3. (c+d)(d−c)= d²−c² 3. 10q-5q=5(2p-q)
4. (a-b)(b+a)=−b+a² 4. 12c+8b=4(3c+2b)
5. (x+1)(x−1)=x²−1 5. 15t-9k=3(5t-3k)
6. (a+2)(2−a)=4−a²