№1 Разложите на множители:
1) 8(у-3)-а(3-у)
2) 6(а-2)+5а(2-а)
3) 2(х+у)(х-у)-(х+у)^2
4) 3ах-ау+3bх-bу
5) ab-ac-7b+7c
№2 выполните умножение:
1) (3х-2у)(3х+2у)
2) (z-4b)(4b+z)
3) (-2n+3p^2)(3p^2+2n)
4) (5a^2-0,4b^2)(0,4b^2+5a^2)
5) (2,5x-0,3y)(2,5x+0,3y)
1) 8(у-3)-а(3-у)
2) 6(а-2)+5а(2-а)
3) 2(х+у)(х-у)-(х+у)^2
4) 3ах-ау+3bх-bу
5) ab-ac-7b+7c
№2 выполните умножение:
1) (3х-2у)(3х+2у)
2) (z-4b)(4b+z)
3) (-2n+3p^2)(3p^2+2n)
4) (5a^2-0,4b^2)(0,4b^2+5a^2)
5) (2,5x-0,3y)(2,5x+0,3y)
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Answers & Comments
2) 6(a-2)+5a(2-a)=6(a-2)-5a(a-2)=(a-2)(6-5a)
3) 2(x+y)(x-y)-(x+y)^2=(x+y)(2(x-y)-(x+y))=(x+y)(2x-2y-x-y)=(x+y)(x-3y)
4) 3ax-ay+3bx-by=a(3x-y)+b(3x-y)=(3x-y)(a+b)
5) ab-ac-7b+7c=a(b-c)-7(b-c)=(b-c)(a-7)
1) (3х-2у)(3х+2у)=(3x)^2-(2y)^2=9x^2-4y^2
2) (z-4b)(4b+z)=(z-4b)(z+4b)=z^2-16b^2
3) (-2n+3p^2)(3p^2+2n)=(3p^2-2n)(3p^2+2n)=9p^4-4n^2
4) (5a^2-0,4b^2)(0,4b^2+5a^2)=(5a^2-0.4b^2)(5a^2+0.4b^2)=25a^4-0.16b^4
5) (2,5x-0,3y)(2,5x+0,3y)=6.25x^2-0.09y^2