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a:
ĐKXĐ: \(x\notin\left\{5;-5;-1;0\right\}\)
\(P=\left(\dfrac{15-x}{x^2-25}+\dfrac{2}{x+5}\right):\dfrac{x+1}{2x^2-10x}\)
\(=\left(\dfrac{15-x}{\left(x-5\right)\left(x+5\right)}+\dfrac{2}{x+5}\right)\cdot\dfrac{2x\left(x-5\right)}{x+1}\)
\(=\dfrac{15-x+2\left(x-5\right)}{\left(x-5\right)\left(x+5\right)}\cdot\dfrac{2x\left(x-5\right)}{x+1}\)
\(=\dfrac{x+5}{\left(x+5\right)}\cdot\dfrac{2x}{x+1}=\dfrac{2x}{x+1}\)
b: Thay x=1 vào P, ta được:
\(P=\dfrac{2\cdot1}{1+1}=\dfrac{2}{2}=1\)
ah giúp em bài toán lớp 6 em đăng trên trang của em đc ko ạ?
\(a,=x^2-6x+9-x^2+6x=9\\ b,=4x^2+4x+1-4x^2+9-4x-8=2\\ c,=\left(2x^2-2x-x+1\right):\left(x-1\right)\\ =\left(x-1\right)\left(2x-1\right):\left(x-1\right)=2x-1\)
`a)(x-3)^2-x(x-6)`
`=x^2-6x+9-x^2+6x=9`
`b)(2x+1)^2-(3+2x)(2x-3)-4(x+2)`
`=4x^2+4x+1-(4x^2-9)-4x-8`
`=2`
`c)(2x^2-3x+1):(x-1)`
`=(2x^2-2x-x+1):(x-1)`
`=[2x(x-1)-(x-1)]:(x-1)`
`=2x-1`
(x+2).(x2-2x+4)+(2x-3).(4x2+6x+9)
=(x3+8)+(8x3-27)
=x3+8+8x3-27
=+9x3-19
Câu 2 giống câu 1
\(A=\dfrac{2x+1}{x\left(2x+1\right)}-\dfrac{x^2}{x\left(2x+1\right)}+\dfrac{2x^2-3x-1}{x\left(2x+1\right)}\)
\(=\dfrac{2x+1-x^2+2x^2-3x-1}{x\left(2x+1\right)}\)
\(=\dfrac{x^2-x}{x\left(2x+1\right)}=\dfrac{x\left(x-1\right)}{x\left(2x+1\right)}\)
\(=\dfrac{x-1}{2x+1}\)
\(=\dfrac{2x+1}{x\left(2x+1\right)}-\dfrac{x^2}{x\left(2x+1\right)}+\dfrac{2x^2-3x-1}{x\left(2x+1\right)}\)
\(=\dfrac{2x+1-x^2+2x^2-3x-1}{x\left(2x+1\right)}\)
\(=\dfrac{x^2+x}{x\left(2x+1\right)}\)
\(=\dfrac{x-1}{2x+1}\).
`@` `\text {Ans}`
`\downarrow`
`A= (2x - 3)^2 - (2x + 3)^2`
`= [(2x - 3) - (2x + 3)]*[(2x - 3) + (2x + 3)]`
`= (2x - 3 - 2x - 3) * (2x - 3 + 2x + 3)`
`= -6 * 4x`
`= -24x`
Answer:
\(\left(2x+1\right)^2+\left(2x-1\right)^2-2\left(1+2x\right)\left(2x-1\right)\)
\(=(4x^2+4x+1)+(4x^2-4x+1)-2(4x^2-1)\)
\(=4x^2+4x+1+4x^2-4x+1-8x^2+2\)
\(=(4x^2+4x^2-8x^2)+(4x-4x)+(1+1+2)\)
\(=4\)
\((x-1)^3-(x+2)(x^2-2x+4)+3(x-1)(x+1)\)
\(=(x^3-3x^2+3x-1)-(x^3+8)+3(x^2-1)\)
\(=x^3-3x^2+3x-1-x^3-8+3x^2-3\)
\(=(x^3-x^3)+(-3x^2+3x^2)+3x+(-1-8-3)\)
\(=3x-12\)
a) \(\left(x+2\right)\left(x-2\right)-\left(x-3\right)\left(x+1\right)\)
\(=\left(x^2-4\right)-\left(x^2-2x-3\right)\)
\(=x^2-4-x^2+2x+3\)
\(=2x-1\)
a) (x + 2)(x - 2) - (x - 3)(x + 1)
= x2 - 4 - x2 + 2x + 3
= 2x - 1
b) (2x + 1)2 + (3x - 1)2 + 2.(2x + 1)(2x - 1)
= 4x2 + 4x + 1 + 9x2 - 6x + 8x2 - 2
= 21x2 - 2x
a) Ta có: \(A=\left(\dfrac{1}{x-2}+\dfrac{2x}{x^2-4}+\dfrac{1}{x+2}\right)\cdot\left(\dfrac{2}{x}-1\right)\)
\(=\dfrac{x+2+2x+x-2}{\left(x-2\right)\left(x+2\right)}\cdot\dfrac{2-x}{x}\)
\(=\dfrac{4x}{\left(x-2\right)\left(x+2\right)}\cdot\dfrac{-\left(x-2\right)}{x}\)
\(=\dfrac{-4}{x+2}\)
b) Để A=1 thì x+2=-4
hay x=-6(nhận)
có x bình +2x+1=x+1 tất cả bình
có x bình-1=x+1 nhân x-1
suy ra rút gọn thành
x+1 trên X-1