2 ) dung dinh nghia phan thuc bang nhau , chung minh
a) 12x^2y/8xy=6x^2y^2
b)2(x-1)/6x=x^2-x/3x^2
1 thinh nhan
a(3x-x)(4x-5)-(4x-1)(3x-2)
b2x(6x-2)-3x(4x-1)
2dung dinh nghia phan thuc bang nhau ,chung minh
a)12x^2y/8xy=6x^2y^2/4xy^2
b)2(x-1)/6x=x^2-x/3x^2
1) tinh nhan
a)(3x -x)(4x-5)-(4x-1)(3x-2)
b2x(6x-2)-3x(4x-1)
2 dung dinh ngia phan thuc bang nhau,chung minh
a)12x^2/8xy=6x^2y^2/4xy^2
b)2(x-1)/6x=x^2-x/3x^2
giup dum minh voi thu la la cung nop roi do ban !
dung dinh nghia hai phan thuc bang nhau chung to rang
a] x^2y^3/5=7x^3y^4/35xy
b] x^3-4x/10-5x= -x^2-2x/5
dung dinh nghia 2 phan thuc bang nhau chung minh cac phan thuc sau bang nhau
\(\frac{2-x}{2+x}=\frac{x^2-4x+4}{4-x^2}\)
\(\frac{x^3-9x}{15-5x}=\frac{-x^2-3x}{5}\)
Lời giải:
\(\frac{x^2-4x+4}{4-x^2}=\frac{x^2-2.2.x+2^2}{2^2-x^2}=\frac{(x-2)^2}{(2-x)(2+x)}=\frac{(2-x)^2}{(2-x)(2+x)}=\frac{2-x}{2+x}\) (đpcm)
\(\frac{x^3-9x}{15-5x}=\frac{x(x^2-9)}{5(3-x)}=\frac{x(x-3)(x+3)}{5(3-x)}=\frac{-x(3-x)(x+3)}{5(3-x)}=\frac{-x(x+3)}{5}=\frac{-x^2-3x}{5}\) (đpcm)
Cho đa thức P(x) = 3x ^ 2y - 2x + 5xy ^ 2 - 7y ^ 2 Q(x) = 3xy ^ 2 - 7y ^ 2 - 9x ^ 2y - x - 5 Tính P(x) + Q(x) A. - 6x ^ 2y + 8xy ^ 2 - 14y ^ 2 - 3x - 5 B. 6x ^ 2y + 8xy ^ 2 - 3x - 5 D. 6x ^ 2y - 8xy ^ 2 - 14y ^ 2 - 3x - 5
P(x)+Q(x)
=3x^2y-2x+5xy^2-7y^2+3xy^2-7y^2-9x^2y-x-5
=8xy^2-14y^2-6x^2y-3x-5
=>Chọn A
Phan tich thanh nhan tu bang ki thuat no sung hang dang thuc.
3x^2+8xy-3y^2
x^2 - x - xy - 2y^2+2y
x^2+2y^2-3xy + x -2y
x^2+x-xy-2y^2+y
Phan tich thanh nhan tu bang ki thuat no sung hang dang thuc.
3x^2+8xy-3y^2
x^2 - x - xy - 2y^2+2y
x^2+2y^2-3xy + x -2y
x^2+x-xy-2y^2+y
Rut gon bieu thuc:
2(2x-3)^2+(x-2)(x+2)
(12x^2y^2-6x^3y^2):3x^2y:-4y(2x-5)
bai 1 sbt toan 8 tap 1 trang 23
dung dinh nghia 2 phan thuc bang nhau chung minh cac dang thuc sau
a)x^2\5=7x^3y^4\35xy
b)x^2(x+2)\x(x+2)^2=x\x+2
d)x^3-x^4\10-5x=-x^2-2x\5