\(\dfrac{x^2-2x-8}{2x^2+9x+10}\)

\(=\dfrac{x^2-4x+2x-8}{2x^2+4x+5x+10}\)

\(=\dfrac{\left(x-4\right)\left(x+2\right)}{\left(x+2\right)\left(2x+5\right)}\)

\(=\dfrac{x-4}{2x+5}\)

Các bạn giúp mình với nhé thanks 

\(\dfrac{x^2-2x-8}{2x^2+9x+10}\)

\(=\dfrac{\left(x-4\right)\left(x+2\right)}{2x^2+4x+5x+10}\)

\(=\dfrac{\left(x-4\right)\left(x+2\right)}{\left(x+2\right)\left(2x+5\right)}\)

\(=\dfrac{x-4}{2x+5}\)

\(P(x) =7 + 10{x^2} + 3{x^3} - 5x + 8{x^3} - 3{x^2}\\=(3{x^3}+8{x^3})+( 10{x^2} - 3{x^2})-5x + 7\\= 11{x^3} + 7{x^2} - 5x + 7\)

\(=\dfrac{\left(x^{10}-x\right)+\left(x^5-x^2\right)+\left(x^2+x+1\right)}{x^8+x^4+1}\)

\(=\dfrac{x\left(x^9-1\right)+x^2\left(x^3-1\right)+\left(x^2+x+1\right)}{x^8+2x^4+1-x^4}\)

\(=\dfrac{x\left(x^3-1\right)\left(x^6+x^3+1\right)+x^2\left(x^3-1\right)+\left(x^2+x+1\right)}{\left(x^4+1\right)^2-x^4}\)

\(=\dfrac{\left(x-1\right)\left(x^2+x+1\right)\left(x^7+x^4+x+x^2\right)+\left(x^2+x+1\right)}{\left(x^4-x^2+1\right)\left(x^4+x^2+1\right)}\)

\(=\dfrac{\left(x^2+x+1\right)\left[\left(x-1\right)\left(x^7+x^2+x^4+x\right)+1\right]}{\left(x^4+2x^2+1-x^2\right)\left(x^4-x^2+1\right)}\)

\(=\dfrac{\left(x-1\right)\left(x^7+x^4+x^2+x\right)+1}{\left(x^2+1-x\right)\left(x^4-x^2+1\right)}\)

* Đa thức thu gọn là đa thức không còn hai hạng tử nào đồng dạng

A = (xy⁷- xy⁷) + (x³y⁵-x³y⁵)+x⁸+10

A = x⁸+10

* M + N

= (5xyz -5x² + 8xy + 5)+(5x²+2xyz-8xy-7+y²)

= 5xyz - 5x² +8xy +5+5x² +2 xyz - 8xy -7 + y²

= ( 5xyz + 2xyz ) + ( -5x² +5x²) + ( 8xy - 8xy ) + ( 5-7) +y²

= 7xyz - 2 + y²

* M - N

= ( 5xyz - 5x² +8xy +5) - ( 5x² + 2xyz - 8xy -7 +y²)

= 5xyz - 5x² + 8xy + 5 - 5x² - 2xyz + 8xy + 7 - y²

= ( 5xyz - 2xyz) + ( -5x² - 5x²) + ( 8xy + 8xy) + ( 5+7) -y²

= 3xyz - 10x² +16xy +12 -y²

\(\frac{2^{10}.13+2^{10}.65}{2^8.104}\)

\(=\frac{2^{10}.\left(13+65\right)}{2^8.104}\)

\(=\frac{2^8.2^2.81}{2^8.104}\)

\(=\frac{2^8.4.81}{2^8.104}\)

\(=\frac{2^8.324}{2^8.104}\)

\(=\frac{324}{104}\)

\(=\frac{81}{26}\)

\(\frac{2^{10}×13+2^{10}×65}{2^8×104}\)

\(=\frac{2^{10}×\left(13+65\right)}{2^8×104}\)

\(=\frac{2^8×2^2×81}{2^8×104}\)

\(=\frac{2^2×81}{104}\)

\(=\frac{324}{104}\)

\(=\frac{81}{26}\)

Làm cách này nhanh hơn nhé , bạn Xyz

thank bn nhưng 13+65 = 78 mà bn

a: \(M\left(x\right)=4x^3+x^2+4x+5\)

Hệ số tự do là 5

b: M(2)=32+4+8+5=49

c) \(\dfrac{x-4\sqrt{x}+4}{x-2\sqrt{x}}\left(đk:x>0\right)=\dfrac{\left(\sqrt{x}-2\right)^2}{\sqrt{x}\left(\sqrt{x}-2\right)}=\dfrac{\sqrt{x}-2}{\sqrt{x}}\)

d) \(\dfrac{x-9}{x+6\sqrt{x}+9}\left(đk:x\ge0\right)=\dfrac{\left(\sqrt{x}-3\right)\left(\sqrt{x}+3\right)}{\left(\sqrt{x}+3\right)^2}=\dfrac{\sqrt{x}-3}{\sqrt{x}+3}\)

e) \(\dfrac{x-10\sqrt{x}+25}{25-x}\left(đk:x\ge0,x\ne25\right)=\dfrac{\left(\sqrt{x}-5\right)^2}{\left(\sqrt{x}-5\right)\left(\sqrt{x}+5\right)}=\dfrac{\sqrt{x}-5}{\sqrt{x}+5}\)

c: \(\dfrac{x-4\sqrt{x}+4}{x-2\sqrt{x}}=\dfrac{\sqrt{x}-2}{\sqrt{x}}\)

d: \(\dfrac{x-9}{x+6\sqrt{x}+9}=\dfrac{\sqrt{x}-3}{\sqrt{x}+3}\)

e: \(\dfrac{x-10\sqrt{x}+25}{25-x}=\dfrac{5-\sqrt{x}}{\sqrt{x}+5}\)

Đáp án : B

n_X = 0,1 mol ; n_NaOH = 0,2 mol => X là este 2 chức

Mà sản phẩm chứa hỗn hợp muối => Axit đơn chức , ancol 2 chức

Gọi 2 muối là R₁COONa và R₂COONa

=> 0,1.(R₁ + 67 + R₂ + 67) = 17,8   => R₁ + R₂ = 44

=> +) R₁ = 1 (H-) ; R₂ = 43 (C₃H₇ - )

     +) R₁ = 15 (CH₃-) ; R₂ = 29 (C₂H₅-)