Bài 5: 

a. 1 - 2y + y²

= (1 - y)²

b. (x + 1)² - 25

= (x + 1)² - 5²

= (x + 1 - 5)(x + 1 + 5)

= (x - 4)(x + 6)

c. 1 - 4x²

= 1² - (2x)²

= (1 - 2x)(1 + 2x)

d. 8 - 27x³

= 2³ - (3x)³

= (2 - 3x)(4 + 6x + 9x²)

e. (đề hơi khó hiểu ''x3'' !?)

g. x³ + 8y³

= (x + 2y)(x² - 2xy + y²)

\(\left\{{}\begin{matrix}2x=0\\x^2-4=0\end{matrix}\right.\) ==>\(\left\{{}\begin{matrix}x=0\\x=+,-2\end{matrix}\right.\)

\(\left(x^2-9\right)^2-\left(x-3\right)^2=0\)

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

\(\Leftrightarrow\left(x-3\right)^2\left[\left(x+3\right)^2-1\right]=0\)

\(\Leftrightarrow\left[{}\begin{matrix}\left(x-3\right)^2=0\\\left(x+3\right)^2=1\end{matrix}\right.\)\(\Leftrightarrow\left[{}\begin{matrix}x-3=0\\x+3=1\\x+3=-1\end{matrix}\right.\)\(\Leftrightarrow\left[{}\begin{matrix}x=3\\x=-2\\x=-4\end{matrix}\right.\)

\(\left(x^2-9\right)^2-\left(x-3\right)^2=0\)

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

\(\Leftrightarrow\left[{}\begin{matrix}x=3\\x=-2\\x=-4\end{matrix}\right.\)

c: \(\Leftrightarrow\left[{}\begin{matrix}x=\sqrt{7}\\x=-\sqrt{7}\\x=-5\\x=5\end{matrix}\right.\)

P=\(x^3+6x^2+12x+8+x^3-6x^2+12x-8-2x^3-24x=0\)

Vậy giá trị của P không phụ thuộc vào biến

Q=\(x^3-3x^2+3x-1-x^3-3x^2-3x-1+6x^2-6=-8\)

Vậy giá trị của Q không phụ thuộc vào biến

Tick nha bạn 😘

a,\(\left(x^2+x\right)2+3\left(x^2+x\right)+2\)

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

b,\(\left(x^2+x\right)2-2\left(x^2+x\right)-15\)

=\(-4\left(x^2+x\right)-15\)

c,\(\left(x^2+x+1\right)\left(x^2+x+2\right)-12\)

=\(\left(x^2+x+1\right)\left(x^2+x+1\right)+1-12\)

=\(\left(x^2+x+1\right)^2-11\)

d,\(\left(x^2+x\right)2+4x^2+4x-12\)

=\(x\left(x+1\right)2+2x\left(x+1\right)-12\)

=\(2x\left(x+1\right)+2x\left(x+1\right)-12\)

=\(\left(x+1\right)\left(2x+2x-12\right)\)

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

e,\(\left(x^2+2x\right)2+9x^2+18x+20\)

=\(x\left(x+2\right)2+9x\left(x+2\right)+20\)

=\(2x\left(x+2\right)+9x\left(x+2\right)+20=\left(x+2\right)\left(2x+9x+20\right)\)

=\(\left(x+2\right)\left(11x+20\right)\)

thực ra mk cx ko chắc là đúng hết nha

               Để olm giúp em em nhé!

a,   \(\dfrac{x+2}{7x+42}\) = \(\dfrac{x+2}{7.\left(x+6\right)}\) = \(\dfrac{\left(x+2\right)\left(x-6\right)}{7\left(x-6\right)\left(x+6\right)}\) (đk \(x\ne\) \(\mp\) 6)

 \(\dfrac{-13x}{x^2-36}\) = \(\dfrac{-13x}{\left(x-6\right)\left(x+6\right)}\) = \(\dfrac{-7.13.x}{7.\left(x-6\right).\left(x+6\right)}\) = \(\dfrac{-91x}{7.\left(x-6\right)\left(x+6\right)}\)

b, \(\dfrac{7}{4x+16}\) = \(\dfrac{7\left(x-4\right)}{4.\left(x+4\right).\left(x-4\right)}\) (đk \(x\ne\) \(\pm\) 4)

     \(\dfrac{15}{x^2-16}\) = \(\dfrac{15.4}{\left(x-4\right)\left(x+4\right).4}\) = \(\dfrac{60}{4.\left(x-4\right).\left(x+4\right)}\)

c, \(\dfrac{12}{x^2-4}\) = \(\dfrac{12}{\left(x-2\right).\left(x+2\right)}\)  Đk \(x\) \(\ne\)  \(\pm\) 2

    \(\dfrac{2}{x-3}\) đk \(x\) \(\ne\) 3

\(\dfrac{12}{x^2-4}\) = \(\dfrac{12.\left(x-3\right)}{\left(x^2-4\right).\left(x-3\right)}\) = \(\dfrac{12x-36}{\left(x^2-4\right).\left(x-3\right)}\)

   \(\dfrac{2}{x-3}\) =  \(\dfrac{2.\left(x^2-4\right)}{\left(x-3\right).\left(x^2-4\right)}\) 

Bài 1:

\(x+11,2=12,6\times2\\ x+11,2=25,2\\ x=25,2-11,2=14\)

\(2,5\times x=24,4:2\\ 2,5\times x=12,2\\x=\dfrac{12,2}{2,5}=4,88 \)

\(12,76-x=9,5+1,8\\ 12,76-x=11,3\\ x=12,76-11,3=1,46\)