\(a,=\dfrac{x^2+4x+3-2x^2+2x+x^2-4x+3}{\left(x-3\right)\left(x+3\right)}=\dfrac{2\left(x+3\right)}{\left(x-3\right)\left(x+3\right)}=\dfrac{2}{x-3}\\ b,=\dfrac{1-2x+3+2y+2x-4}{6x^3y}=\dfrac{2y}{6x^3y}=\dfrac{1}{x^2}\\ c,=\dfrac{75y^2+18xy+10x^2}{30x^2y^3}\\ d,=\dfrac{5x+8-x}{4x\left(x+2\right)}=\dfrac{4\left(x+2\right)}{4x\left(x+2\right)}=\dfrac{1}{x}\\ c,=\dfrac{x^2+2+2x-2-x^2-x-1}{\left(x-1\right)\left(x^2+x+1\right)}=\dfrac{x-1}{\left(x-1\right)\left(x^2+x+1\right)}=\dfrac{1}{x^2+x+1}\)

a/ (x-1)²-(4x+3)(2-x)=x²-2x+1-(8x-4x²+6-3x)

=x²-2x+1-8x+4x²-6+3x=5x²-7x-6

b/ (15x³y² - 6x²y³) : 3x²y² = 5x - 2y

c/ \(\dfrac{x+7}{x-7}-\dfrac{x-7}{x+7}+\dfrac{4x^2}{x^2-49}\)=\(\dfrac{\left(x+7\right)^2-\left(x-7\right)^2+4x^2}{\left(x-7\right)\left(x+7\right)}\)=\(\dfrac{x^2+14x+49-\left(x^2-14x+49\right)+4x^2}{\left(x-7\right)\left(x+7\right)}\)=\(\dfrac{28x+4x^2}{\left(x-7\right)\left(x+7\right)}\)=\(\dfrac{4x\left(x+7\right)}{\left(x-7\right)\left(x+7\right)}\)=\(\dfrac{4x}{x-7}\)

$P=\dfrac{2}{x+3}+\dfrac{1}{x-3}+\dfrac{9-x}{9-x^2}$

$=\dfrac{2(x-3)+(x+3)}{(x+3)(x-3)}+\dfrac{9-x}{(3-x)(3+x)}$

$=\dfrac{3x-3}{x^2-9}+\dfrac{9-x}{9-x^2}$

$=\dfrac{3x-3}{x^2-9}-\dfrac{9-x}{x^2-9}$

$=\dfrac{3x-3-9+x}{x^2-9}$

$=\dfrac{4x-12}{x^2-9}$

$=\dfrac{4(x-3)}{(x-3)(x+3)}$

$=\dfrac{4}{x+3}$

Vậy $P=\dfrac{4}{x+3}$.

$(2x^4-3x^3-3x^2+6x-1):(x^2-2)$

$=2x^2-3x+1+\dfrac{4x+1}{x^2-2}$

Vậy thương là $2x^2-3x+1$, dư $4x+1$.

$(15x^4y^6-12x^3y^4-18x^2y^3):(-6x^2y^2)$

$=\dfrac{15x^4y^6}{-6x^2y^2}+\dfrac{-12x^3y^4}{-6x^2y^2}+\dfrac{-18x^2y^3}{-6x^2y^2}$

$=-\dfrac52x^2y^4+2xy^2+3y$

Vậy kết quả là $-\dfrac52x^2y^4+2xy^2+3y$.

a: =>A-B=3x^2y-4xy^2+x^2y-2xy^2=4x^2y-6xy^2

b: =>B-A=-7xy^2+8x^2y-5xy^2+6x^2y=-12xy^2+14x^2y

=>A-B=12xy^2-14x^2y

c: =>B-A=8x^2y^3-4x^3y-3x^2y^3+5x^3y^2=5x^2y^3+x^3y^2

=>A-B=-5x^2y^3-x^3y^2

d: =>A-B=2x^2y^3-7x^3y+6x^2y^3+3x^3y^2=8x^2y^3-7x^3y+3x^3y^2

a)\(\dfrac{x^2}{x-1}+\dfrac{1-2x}{x-1}\)

=\(\dfrac{x^2+1-2x}{x-1}\)

=\(\dfrac{x^2-2x+1}{x-1}\)

=\(\dfrac{\left(x-1\right)^2}{x-1}\)

= x - 1

b) \(\dfrac{x}{x-3}\) + \(\dfrac{-9}{x^2-3x}\)

=\(\dfrac{x}{x-3}\)+ \(\dfrac{-9}{x\left(x-3\right)}\)

=\(\dfrac{x.x}{x\left(x-3\right)}\) + \(\dfrac{-9}{x\left(x-3\right)}\)

=\(\dfrac{x^2+3^2}{x\left(x-3\right)}\)

=\(\dfrac{\left(x+3\right)\left(x-3\right)}{x\left(x-3\right)}\)

=\(\dfrac{x+3}{x}\)

#Fiona

Help me !!!!!

Bài 1:

a) \(\dfrac{15xy}{10x^2y}\)

= \(\dfrac{3.5xy}{2.5xyx}\)

= \(\dfrac{3}{2x}\)

d) \(\dfrac{6x\left(x+5\right)^3}{2x^2\left(x+5\right)}\)

= \(\dfrac{3.2x\left(x+5\right)\left(x+5\right)^2}{x.2x\left(x+5\right)}\)

= \(\dfrac{3\left(x+5\right)^2}{x}\)

Sao câu hỏi của bn giống của mình vậy ???

mk cg k biết bn cg hỏi câu này ak