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1.1)![7m( m^{3}-8 m^{2} +9)=7 m^{4} -56 m^{3} +63 7m( m^{3}-8 m^{2} +9)=7 m^{4} -56 m^{3} +63](https://tex.z-dn.net/?f=7m%28+m%5E%7B3%7D-8+m%5E%7B2%7D++%2B9%29%3D7+m%5E%7B4%7D+-56+m%5E%7B3%7D+%2B63)
2)![(x-2)(2x+3)=2 x^{2} +3x-4x-6=2 x^{2} -x-6 (x-2)(2x+3)=2 x^{2} +3x-4x-6=2 x^{2} -x-6](https://tex.z-dn.net/?f=%28x-2%29%282x%2B3%29%3D2+x%5E%7B2%7D+%2B3x-4x-6%3D2+x%5E%7B2%7D+-x-6)
3)![(3m-4n)(5m+8n)=15 m^{2} +24mn-20mn-32 n^{2} = \ =15 m^{2} +4mn-32 n^{2} (3m-4n)(5m+8n)=15 m^{2} +24mn-20mn-32 n^{2} = \ =15 m^{2} +4mn-32 n^{2}](https://tex.z-dn.net/?f=%283m-4n%29%285m%2B8n%29%3D15+m%5E%7B2%7D+%2B24mn-20mn-32+n%5E%7B2%7D+%3D+%5C+%3D15+m%5E%7B2%7D+%2B4mn-32+n%5E%7B2%7D+)
4)![(y+3)( y^{2} +y-6)= y^{3} + y^{2} -6y+3 y^{2} +3y-18= \ = y^{3} +4 y^{2} -3y-18 (y+3)( y^{2} +y-6)= y^{3} + y^{2} -6y+3 y^{2} +3y-18= \ = y^{3} +4 y^{2} -3y-18](https://tex.z-dn.net/?f=%28y%2B3%29%28+y%5E%7B2%7D+%2By-6%29%3D+y%5E%7B3%7D+%2B+y%5E%7B2%7D+-6y%2B3+y%5E%7B2%7D+%2B3y-18%3D+%5C+%3D+y%5E%7B3%7D+%2B4+y%5E%7B2%7D+-3y-18)
2.1)![12ab-18 b^{2} =6b(2a-3b) 12ab-18 b^{2} =6b(2a-3b)](https://tex.z-dn.net/?f=12ab-18+b%5E%7B2%7D+%3D6b%282a-3b%29)
2)![21 x^{7} -7 x^{4}=7 x^{4} (3 x^{3}-1 ) 21 x^{7} -7 x^{4}=7 x^{4} (3 x^{3}-1 )](https://tex.z-dn.net/?f=21+x%5E%7B7%7D+-7+x%5E%7B4%7D%3D7+x%5E%7B4%7D++%283+x%5E%7B3%7D-1+%29)
3)![8x-8y+ax-ay=(8x+ax)-(8y+ay)=x(8+a)-y(8+a)= \ =(8+a)(x-y) 8x-8y+ax-ay=(8x+ax)-(8y+ay)=x(8+a)-y(8+a)= \ =(8+a)(x-y)](https://tex.z-dn.net/?f=8x-8y%2Bax-ay%3D%288x%2Bax%29-%288y%2Bay%29%3Dx%288%2Ba%29-y%288%2Ba%29%3D+%5C+%3D%288%2Ba%29%28x-y%29)
3.![5 x^{2} -15x=0 \ 5x(x-3)=0 \ x=0;x=3 5 x^{2} -15x=0 \ 5x(x-3)=0 \ x=0;x=3](https://tex.z-dn.net/?f=5+x%5E%7B2%7D+-15x%3D0+%5C+5x%28x-3%29%3D0+%5C+x%3D0%3Bx%3D3)
4.![6 c^{2} -21- c^{2} -4c+c+4=5 c^{2} -3c-17 6 c^{2} -21- c^{2} -4c+c+4=5 c^{2} -3c-17](https://tex.z-dn.net/?f=6+c%5E%7B2%7D+-21-+c%5E%7B2%7D+-4c%2Bc%2B4%3D5+c%5E%7B2%7D+-3c-17)
5.1)![8x-2-3x-2=36 \ 5x=40 \ x=8 8x-2-3x-2=36 \ 5x=40 \ x=8](https://tex.z-dn.net/?f=8x-2-3x-2%3D36+%5C+5x%3D40+%5C+x%3D8)
2)![6 x^{2} +21x-10x-35-6 x^{2} +9x-2x+3-4x=0 \ 14x-32=0 \ x= frac{32}{14} = frac{16}{7} 6 x^{2} +21x-10x-35-6 x^{2} +9x-2x+3-4x=0 \ 14x-32=0 \ x= frac{32}{14} = frac{16}{7}](https://tex.z-dn.net/?f=6+x%5E%7B2%7D+%2B21x-10x-35-6+x%5E%7B2%7D+%2B9x-2x%2B3-4x%3D0+%5C+14x-32%3D0+%5C+x%3D+frac%7B32%7D%7B14%7D+%3D+frac%7B16%7D%7B7%7D+)
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