a.x2-7x+10
⇔x2-2x-5x+10
⇔x(x-2)-5(x-2)
⇔(x-2)(x-5)
b.\(\left(12x^6y^4+9x^5y^3-15x^2y^3\right):3x^2y^3\)
=\(4x^4y+3x^3-5\)
=
x2-7x+10
= x2-5x-2x+10
=x(x-5)-2(x-5)
=(x-5)(x-2)
(12x6y4+9x5y3-15x2y3): 3x2y3
=4x4y+3x3-3
a.x2-7x+10
⇔x2-2x-5x+10
⇔x(x-2)-5(x-2)
⇔(x-2)(x-5)
b.\(\left(12x^6y^4+9x^5y^3-15x^2y^3\right):3x^2y^3\)
=\(4x^4y+3x^3-5\)
=
x2-7x+10
= x2-5x-2x+10
=x(x-5)-2(x-5)
=(x-5)(x-2)
(12x6y4+9x5y3-15x2y3): 3x2y3
=4x4y+3x3-3
rút gọn các phân thức
a,\(\dfrac{7xy^3\left(x-2y\right)}{14x^2y^2\left(x-2y\right)^2}\)
b,\(\dfrac{4a^2-8ab}{2\left(2b-a\right)^3}\)
c,\(\dfrac{3x^3-3x}{x^4-1}\)
d,\(\dfrac{45x\left(3-x\right)}{15x\left(x-3\right)^3}\)
5,thực hiện phép tính
1,\(\frac{4y^2}{11x^4}.\left(-\frac{3x^2}{8y}\right)\)
2,\(\frac{4x^2}{5y^2}:\frac{6x}{5y}:\frac{2x}{3y}\)
3,\(\frac{x^2-4}{3x+12}.\frac{x+4}{2x-4}\)
4,\(\frac{5x+10}{4x-8}.\frac{4-2x}{x+2}\)
5,\(\frac{x^2-36}{2x+10}.\frac{3}{6-x}\)
6,\(\frac{x^2-9y^2}{x^2y^2}.\frac{3xy}{2x-6y}\)
7,\(\frac{3x^2-3y^2}{5xy}.\frac{15x^2y}{2y-2x}\)
Câu 9: Thực hiện phép tính:
a) \(\dfrac{3x-2}{2xy}+\dfrac{7x+2}{2xy}\).
b) \(\dfrac{5x+y^2}{x^2y}+\dfrac{x^2-5y}{xy^2}\).
c) \(\dfrac{3x-2}{2xy}-\dfrac{7x-y}{2xy}\).
d) \(\dfrac{5x+y^2}{x^2y}-\dfrac{5y-x^2}{xy^2}\).
e) \(\dfrac{16xy}{3x-1}.\dfrac{3-9x}{12xy^3}\).
f) \(\dfrac{8xy}{3x-1}:\dfrac{12xy^3}{5-15x}\).
Thực hiện các phép tính :
a) \(\left(\dfrac{9}{x^3-9x}+\dfrac{1}{x+3}\right):\left(\dfrac{x-3}{x^2+3x}-\dfrac{x}{3x+9}\right)\)
b) \(\left(\dfrac{2}{x-2}-\dfrac{2}{x+2}\right).\dfrac{x^2+4x+4}{8}\)
c) \(\left(\dfrac{3x}{1-3x}+\dfrac{2x}{3x+1}\right):\dfrac{6x^2+10x}{1-6x+9x^2}\)
d) \(\left(\dfrac{x}{x^2-25}-\dfrac{x-5}{x^2+5x}\right):\dfrac{2x-5}{x^2+5x}+\dfrac{x}{5-x}\)
e) \(\left(\dfrac{x^2+xy}{x^3+x^2y+xy^2+y^3}+\dfrac{y}{x^2+y^2}\right):\left(\dfrac{1}{x-y}-\dfrac{2xy}{x^3-x^2y+xy^2-y^3}\right)\)
Rút gọn biểu thức:
\(\left(3x+y\right)\left(9x^2-3xy+y^2\right)-\left(3x-y\right)^3-27x^2y\)
Phân tích: a) \(3\left(x^4+x^2+1\right)-\left(x^2+x+1\right)^2\)
b) \(2x^4-x^3y+3x^2y^2-xy^3+2y^4\)
giúp nha mb
c1. phân tích đa thức thành nhân tử
a, x^2+2x+1
b, x^2-xy+5x-5y
c2, thực hiện phép tính sau:
a, 2x+6/3x^2-x: x^2+3x/1-3x
b, (4x^4y^2+6x^2y^3-12x^2y):3x^2y
tính A= \(\dfrac{3x-2y}{3x+2y}\) biết \(\left\{{}\begin{matrix}9x^2+4y^2=20xy\\x< 2y\end{matrix}\right.\)
thu gọn biểu thức
\(-10x^3y\cdot\left(\dfrac{2}{5}x^2y+\dfrac{3}{10}xy^2\right)+3x^4y^3\)