casio fx 570vn

a: \(\Leftrightarrow x^2\left(x^2+x-12\right)=0\)

\(\Leftrightarrow x^2\left(x+4\right)\left(x-3\right)=0\)

hay \(x\in\left\{0;-4;3\right\}\)

d: \(\left(x^2+5x\right)^2-2\left(x^2+5x\right)-24=0\)

\(\Leftrightarrow\left(x^2+5x-6\right)\left(x^2+5x+4\right)=0\)

\(\Leftrightarrow\left(x+6\right)\left(x-1\right)\left(x+1\right)\left(x+4\right)=0\)

hay \(x\in\left\{-6;1;-1;-4\right\}\)

f: \(x\left(x+1\right)\left(x-1\right)\left(x+2\right)=24\)

\(\Leftrightarrow\left(x^2+x\right)\left(x^2+x-2\right)=24\)

\(\Leftrightarrow\left(x^2+x\right)^2-2\left(x^2+x\right)-24=0\)

\(\Leftrightarrow x^2+x-6=0\)

\(\Leftrightarrow\left(x+3\right)\left(x-2\right)=0\)

hay \(x\in\left\{-3;2\right\}\)

1) \(\frac{8xy\left(3x-1\right)^3}{12x^3\left(1-3x\right)}=-\frac{8xy\left(3x-1\right)^3}{12x^3\left(3x-1\right)}=-\frac{2y\left(3x-1\right)^2}{3x^2}\)

2) \(\frac{5x^3+5x}{x^4-1}=\frac{5x\left(x^2+1\right)}{\left(x^2+1\right)\left(x^2-1\right)}=\frac{5x}{x^2-1}\)

3) \(\frac{9-\left(x+5\right)^2}{x^2+4x+4}=\frac{\left(3-x-5\right)\left(3+x+5\right)}{\left(x+2\right)^2}=\frac{-\left(x+2\right)\left(x+8\right)}{\left(x+2\right)^2}=-\frac{x+8}{x+2}\)

3) \(\frac{32x-8x^2+2x^3}{x^3+64}=\frac{2x\left(16-4x+x^2\right)}{\left(x+4\right)\left(x^2-4x+16\right)}=\frac{2x}{x+4}\)

Trùm Trường chỉ là đăng cho vui thui ak

mk viết đáp án, ko biết biến đổi ib mk

a)  \(x^3+3x^2y-9xy^2+5y^3=\left(x+5y\right)\left(x-y\right)^2\)

b)    \(x^4+x^3+6x^2+5x+5=\left(x^2+5\right)\left(x^2+x+1\right)\)

c)   \(x^4-2x^3-12x^2+12x+36=\left(x^2-6\right)\left(x^2-2x-6\right)\)

d)   \(x^8y^8+x^4y^4+1=\left(x^2y^2-xy+1\right)\left(x^2y^2+xy+1\right)\left(x^4y^4-x^2y^2+1\right)\)

4: \(3x^3-5x^2+5x-2\)

\(=3x^3-2x^2-3x^2+2x+3x-2\)

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

\(=\left(3x-2\right)\left(x^2-x+1\right)\)

5: \(5x^3-12x^2+14x-4\)

\(=5x^3-2x^2-10x^2+4x+10x-4\)

\(=\left(5x-2\right)\left(x^2-2x+2\right)\)

\(f,\left(x+1\right)\left(x+2\right)\left(x+3\right)\left(x+4\right)-24\)

\(=\left(x+1\right)\left(x+4\right)\left(x+2\right)\left(x+3\right)-24\)

\(=\left(x^2+5x+4\right)\left(x^2+5x+6\right)-24\)

Đặt \(t=x^2+5x+4\) , ta có
\(t\left(t+2\right)-24\)

\(=t^2+2t-24\)

\(=\left(t^2+2t+1\right)-25\)

\(=\left(t+1\right)^2-5^2\)

\(=\left(t+1-5\right)\left(t+1+5\right)\)

\(=\left(t-4\right)\left(t+6\right)\)

\(=\left(x^2+5x+4-4\right)\left(x^2+5x+4+6\right)\)

\(=\left(x^2+5x\right)\left(x^2+5x+10\right)\)

\(g,\left(x-1\right)\left(x-3\right)\left(x-5\right)\left(x-7\right)-20\)

\(=\left(x-1\right)\left(x-7\right)\left(x-3\right)\left(x-5\right)-20\)

\(=\left(x^2-8x+7\right)\left(x^2-8x+15\right)-20\)

Đặt \(t=x^2-8x+7\), ta có:

\(t\left(t+8\right)-20\)

\(=t^2+8t-20\)

\(=\left(t^2+8t+16\right)-36\)

\(=\left(t+4\right)^2-6^2\)

\(=\left(t+4+6\right)\left(t+4-6\right)\)

\(=\left(t+10\right)\left(t-2\right)\)

\(=\left(x^2-8x+7+10\right)\left(x^2-8x+7-2\right)\)

\(=\left(x^2-8x+17\right)\left(x^2-8x+5\right)\)

a)\(\Leftrightarrow-\frac{x}{x+1}+\frac{1}{x+1}+\frac{x}{x-1}+\frac{1}{x-1}=-\frac{3x^2}{x+1}+\frac{3x}{x+1}+3x\)

\(\Rightarrow\frac{3x^2}{x+1}-\frac{4x}{x+1}+\frac{1}{x+1}+\frac{x}{x-1}-3x+\frac{1}{x-1}=0\)

\(\Leftrightarrow-\frac{2x\left(3x-5\right)}{\left(x-1\right)\left(x+1\right)}=0\)

\(\Rightarrow\int^{\frac{x-1}{1}=0}_{\frac{x+1}{1}=0}\Rightarrow x=0\)

=>3x=5

\(\Rightarrow x=\frac{3}{5}\)

vậy \(x=\frac{3}{5}\) hoặc 0 

b)x = -(20309916*i+23555105)/9277755;

x = -(985155752*i-35635815)/916564140;

x = (985155752*i+35635815)/916564140;

x = (20309916*i-23555105)/9277755;

c)\(\Leftrightarrow\frac{x+2}{x-1}=\frac{1}{1}\Rightarrow\left(x+2\right)1=\left(x-1\right)1\)

vì \(\left(x+2\right)1\ne\left(x-1\right)1\)

=>x vô nghiệm hoặc đề sai

x=1+2+3=6 hê

1. \(\left(4x+7\right)\left(3x+4\right)=\left(12x-5\right)\left(x-1\right)\)

\(12x^2+16x+21x+28=12x^2-12x-5x+5\)

\(12x^2+37x+28-12x^2+17x-5=0\)

54x+23=0

54x=-23

x=-23/54

2. \(\left(5x-1\right)\left(3x-1\right)=\left(5x-7\right)\left(3x+2\right)\)

\(15x^2-5x-3x+1=15x^2+10x-21x-14\)

\(15x^2-8x+1-15x^2+11x+14=0\)

3x+15=0

3x=-15

x=-5

a)\(x^3y^3+x^2y^2+4\)

\(=x^3y^3-x^2y^2+2xy+2x^2y^2-2xy+4\)

\(=xy\left(x^2y^2-xy+2\right)+2\left(x^2y^2-xy+2\right)\)

\(=\left(xy+2\right)\left(x^2y^2-xy+2\right)\)

b)\(x^4+x^3+6x^2+5x+5\)

\(=x^4+x^2+x^2+5x^2+5x+5\)

\(=x^2\left(x^2+x+1\right)+5\left(x^2+x+1\right)\)

\(=\left(x^2+5\right)\left(x^2+x+1\right)\)

c)\(x^4-2x^3-12x^2+12x+36\)

\(=x^4-2x^3-6x^2-6x^2+12x+36\)

\(=x^2\left(x^2-2x-6\right)-6\left(x^2-2x-6\right)\)

\(=\left(x^2-6\right)\left(x^2-2x-6\right)\)

d)\(x^8y^8+x^4y^4+1\)

\(=x^8y^8+2x^4y^4+1-x^4y^4\)

\(=\left(x^4y^4+1\right)^2-\left(x^2y^2\right)^2\)

\(=\left(x^4y^4+1+x^2y^2\right)\left(x^4y^4+1-x^2y^2\right)\)

\(=\left(x^4y^4+2x^2y^2+1-x^2y^2\right)\left(x^4y^4+1-x^2y^2\right)\)

\(=\left(\left(x^2y^2+1\right)^2-\left(xy\right)^2\right)\left(x^4y^4+1-x^2y^2\right)\)

\(=\left(x^2y^2+1-xy\right)\left(x^2y^2+1+xy\right)\left(x^4y^4+1-x^2y^2\right)\)

bạn lm pb = cách nhẩm nghiệm đc không