1)4px+3py-4qx-3qy=4px-4qx+3py-3qy=4x(p-q)+3y(p-q)=(4x+3y)(p-q)
2)...=3tx-3zx-2yt+2zy=3x(t-z)+2y(t-z)=(3x+2y)(t-z)
3)....=2a(c+d)+5b(c+d)=(c+d)(2a+5b)
4)...=2ab-2ad-3bc+3dc=2a(b-d)+3c(b-d)=(2a+3c)(b-d)
x≠0
8-x²/x=x при x≠0 8-x=x 2x=8 x=4
если неаккуратно написали и это (8-x²)/x=x
x≠0 8/x-x=x 2x=8/x 2x²=8 x²=4 x1=-2 x2=2
Ответ:
(x²/xy-y²/xy)/(y/xy+x/xy)=(x-y)(x+y)/xy / y+x/xy=
(x-y)(x+y)/xy * xy/y+x; сокращаем, остаётся x-y
1. ( x - 2 ) ^ 2(x-3)+(x-2)(x-3)^2
=<span>(x-2)(x-3)(x-2+x-3)=</span><span>(x-2)(x-3)(2x-5)
2. 3m (m+2n)-2n(m+2n)^2=</span><span>(m+2n)(3m-2n(m+2n))=(m+2n)(3m-2mn-4n^2)
3. (p+3q)^2(p-q)-(p+3q)(p-q)^2</span>=<span>(p+3q)(p-q)(p+3q-(p-q))=</span><span>4q*(p+3q)(p-q)</span>