Thực hiện phép tính:
x/x-3 + 9-6x/x2-3x
Thực hiện phép tính sau: 18 ( x - 3 ) ( x 2 - 9 ) - 3 x 2 - 6 x + 9 - x x 2 - 9
Thực hiện phép tính x+3/x - x/x-3 +9/x2-3x
\(=\dfrac{x^2-9-x^2+9}{x\left(x-3\right)}=0\)
\(\dfrac{x+3}{x}-\dfrac{x}{x-3}+\dfrac{9}{x^2-3x}=\dfrac{x^2-9-x^2+9}{x\left(x-3\right)}=\dfrac{0}{x\left(x-3\right)}=0\)
Thực hiện phép tính:
a,4.(x+3)/3x2-x : x2+3x/1-3x
b, x+1/x2-2x-8 . 4-x/x2+x
c, 9x+5/2(x-1)(x+3)2- 5x-7/2(x-1)(x+3)2
d, 18/(x-3)(x2-9)-3/x^2-6x+9-x/x^2-9
e, 1/x2-x+1+1/1-x2+2/x3+1
Thực hiện phép tính: a, 1x²+6x+91x²+6x+9 + 1x²+6x+91x²+6x+9 + 16x−x²−916x−x²−9 + xx²−9xx²−9 b, xx−2yxx−2y + xx+2yxx+2y + 4xy4y²−x4xy4y²−x c, x5x+5x5x+5 - x10x−10x10x−10 d, 4(x+3)3x²−x4(x+3)3x²−x : x²+3x1−3xx²+3x1−3x
Thực hiện phép tính : (x-3)3 phần 3x2 : x2 - 6x+9 phần 6x
\(\frac{\left(x-3\right)^3}{3x^2}:\frac{x^2-6x+9}{6x}\)
\(=\frac{\left(x-3\right)^3}{3x^2}.\frac{6x}{\left(x-3\right)^2}\)
\(=\frac{2\left(x-3\right)}{x}\)
\(=\frac{2x-6}{x}\)
#H
Trả lời:
\(\frac{\left(x-3\right)^3}{3x^2}:\frac{x^2-6x+9}{6x}\)
\(=\frac{\left(x-3\right)^3}{3x^2}.\frac{6x}{x^2-6x+9}\)
\(=\frac{\left(x-3\right)^3}{3x^2}.\frac{6x}{\left(x-3\right)^2}\)
\(=\frac{\left(x-3\right)^3.6x}{3x^2.\left(x-3\right)^2}\)
\(=\frac{2\left(x-3\right)}{x}\)
Thực hiện phép chia:
[(3-x)5-7(x-3)4-4(x-3)2] : (x2-6x+9)
\(\left[\left(3-x\right)^5-7\left(x-3\right)^4-4\left(x-3\right)^2\right]:\left(x^2-6x+9\right)=\left[\left(3-x\right)^5-7\left(3-x\right)^4-4\left(3-x\right)^2\right]:\left(3-x\right)^2=\left(3-x\right)^2\left[\left(3-x\right)^3-7\left(3-x\right)^2-4\right]:\left(3-x\right)^2=\left(3-x\right)^3-7\left(3-x\right)^2-4=27-27x+9x^2-x^3-63+42x-7x^2-4=-x^3+2x^2+15x-40\)
\(\dfrac{\left(3-x\right)^5-7\left(x-3\right)^4-4\left(x-3\right)^2}{x^2-6x+9}\)
\(=\dfrac{-\left(x-3\right)^5-7\left(x-3\right)^4-4\left(x-3\right)^2}{\left(x-3\right)^2}\)
\(=-\left(x-3\right)^3-7\left(x-3\right)^2-4\)
Thực hiện phép tính x 2 + 6 x + 9 x + 4 : ( x + 3 ) .
A. x + 3 x + 4
B. 1 x + 4
C. x - 3 x + 4
D. x + 3 x - 4
Thực hiện phép tính x 2 + 6 x + 9 x + 4 : ( x + 3 ) .
A. x + 3 x + 4
B. 1 x + 4
C. x - 3 x + 4
D. x + 3 x - 4
thực hiện phép tính:
a.3x(x^2+6x+2)
b.(x-3)(x^2+6x+8)
a)
\(3x\left(x^2+6x+2\right)\)
\(=3x.x^2+3x.6x+3x.2\)
\(=3x^3+18x^2+6x\)
b)
\(\left(x-3\right)\left(x^2+6x+8\right)\)
\(=x\left(x^2+6x+8\right)-3\left(x^2+6x+8\right)\)
\(=x^3+6x^2+8x-3x^2-18x-24\)
\(=x^3+3x^2-10x-24\)
Thực hiện các phép tính sau:
a) P = ( 4 x 2 − 1 ) 1 2 x − 1 − 1 2 x + 1 − 1 với x ≠ ± 1 2 ;
b) Q = 3 x + 3 − 9 x 2 + 6 x + 9 : 3 x 2 − 9 + 1 3 − x với x ≠ 0 và x ≠ ± 3
a) Ta có P = ( 4 x 2 − 1 ) ( 2 x + 1 ) − ( 2 x − 1 ) − ( 4 x 2 − 1 ) ( 2 x + 1 ) ( 2 x − 1 ) = 3 − 4 x 2
b) Ta có Q = 3 x ( x + 3 ) . ( x + 3 ) ( x − 3 ) − x = 9 − 3 x x + 3