a)bậc 2

b) bậc 2

c)bậc 3

d) bậc 2

a, \(2x-5xy+3x^2\)Bậc : 2

b, \(ax^3+2xy-5\)Bậc : 3

c, \(5x^3-4x+7x^2-8x^3+4x+1-5x^2=-3x^3+2x^2+1\)Bậc : 3

d, \(-3x^5-x^3y-xy^2+3x^5+2=-x^3y-xy^2+2\)Bậc : 4 

1) 30x-30x^2-31

2)6x^4-2x^3-15x^2+23x-6

$\textbf{1)}$

$(3x-5)(7-5x)-(5x+2)(2-3x)$

$=(21x-15x^2-35+25x)-(10x-15x^2+4-6x)$

$=-15x^2+46x-35+15x^2-4x-4$

$=42x-39$

$=3(14x-13).$

1

a, 4x²+4x+2

= 2x²+2x²+2x+2x+2

= 2x²+(2x²+2x)+(2x+2)

= 2x²+ 2x(x+1)+2(x+1)

= 2x²+(2x+2)(x+1)

= 2x²+2(x+1)(x+1)

=2x²+2(x+1)²

Để 2x²+2(x+1)²=0

=>\(\left\{{}\begin{matrix}2x^2=0\\2\left(x+1\right)^2=0\end{matrix}\right.\)

=>\(\left\{{}\begin{matrix}x^2=0\\\left(x+1\right)^2=0\end{matrix}\right.\)

=>\(\left\{{}\begin{matrix}x=0\\x+1=0\end{matrix}\right.\)

=>\(\left\{{}\begin{matrix}x=0\\x=-1\end{matrix}\right.\)(vô lý)

=> đa thức 4x²+4x+2 vô nghiệm

1

b, y²+6y+10

= y²+3y+3y+9+1

= y(3+y)+3(y+3)+1

= (y+3)(y+3)+1

= (y+3)²+1

Có (y+3)²\(\ge\)0;1>0

=> (y+3)²+1>0

=> y²+6y+10 vô nghiệm

Dạng 1:

a) $4x+9=4x+\frac{9}{4}.4=4(x+\frac{9}{4}\Rightarrow$ Nghiệm là $-\frac{9}{4}$

b) $-5x+6=-5x+(-5).(-\frac{6}{5})=-5(x-\frac{6}{5})\Rightarrow$ Nghiệm là $\frac{6}{5}$

c) $7-2x=-2x+7=-2x+(-2).(-\frac{7}{2})=-2(x-\frac{7}{2})\Rightarrow$ Nghiệm là $\frac{7}{2}$

d) $2x+5=2x+2.\frac{5}{2}=2.(x+\frac{5}{2})\Rightarrow$ Nghiệm là $-\frac{5}{2}$

e) $2x+6=2x+2.3=2(x+3)\Rightarrow$ Nghiệm là -3

g) $3x-\frac{1}{4}=3x-3.(\frac{1}{12})=3(x-\frac{1}{12})\Rightarrow$ Nghiệm là $\frac{1}{12}$

h) $3x-9=3x-3.3=3(x-3)\Rightarrow$ Nghiệm là 3

k) $-3x-\frac{1}{2}=-3x-3.(\frac{1}{6})=-3(x+\frac{1}{6})\Rightarrow$ Nghiệm là $-\frac{1}{6}$

m) $-17x-34=-17x-17.2=-17(x+2)\Rightarrow$ Nghiệm là -2

n) $2x-1=2x+2.(-\frac{1}{2})=3(x-\frac{1}{2})\Rightarrow$ Nghiệm là $\frac{1}{2}$

q) $5-3x=-3x+5=-3x+(-3).(-\frac{5}{3})=-3(x-\frac{5}{3})\Rightarrow$ Nghiệm là $\frac{5}{3}$

p) $3x-6=3x+3.(-2)=3(x-2)\Rightarrow$ Nghiệm là 2

4x+9=4x+49​.4=4(x+49​⇒ Nghiệm là \(- \frac{9}{4}\)

b) \(- 5 x + 6 = - 5 x + \left(\right. - 5 \left.\right) . \left(\right. - \frac{6}{5} \left.\right) = - 5 \left(\right. x - \frac{6}{5} \left.\right) \Rightarrow\) Nghiệm là \(\frac{6}{5}\)

c) \(7 - 2 x = - 2 x + 7 = - 2 x + \left(\right. - 2 \left.\right) . \left(\right. - \frac{7}{2} \left.\right) = - 2 \left(\right. x - \frac{7}{2} \left.\right) \Rightarrow\) Nghiệm là \(\frac{7}{2}\)

d) \(2 x + 5 = 2 x + 2. \frac{5}{2} = 2. \left(\right. x + \frac{5}{2} \left.\right) \Rightarrow\) Nghiệm là \(- \frac{5}{2}\)

e) \(2 x + 6 = 2 x + 2.3 = 2 \left(\right. x + 3 \left.\right) \Rightarrow\) Nghiệm là -3

g) \(3 x - \frac{1}{4} = 3 x - 3. \left(\right. \frac{1}{12} \left.\right) = 3 \left(\right. x - \frac{1}{12} \left.\right) \Rightarrow\) Nghiệm là \(\frac{1}{12}\)

h) \(3 x - 9 = 3 x - 3.3 = 3 \left(\right. x - 3 \left.\right) \Rightarrow\) Nghiệm là 3

k) \(- 3 x - \frac{1}{2} = - 3 x - 3. \left(\right. \frac{1}{6} \left.\right) = - 3 \left(\right. x + \frac{1}{6} \left.\right) \Rightarrow\) Nghiệm là \(- \frac{1}{6}\)

m) \(- 17 x - 34 = - 17 x - 17.2 = - 17 \left(\right. x + 2 \left.\right) \Rightarrow\) Nghiệm là -2

n) \(2 x - 1 = 2 x + 2. \left(\right. - \frac{1}{2} \left.\right) = 3 \left(\right. x - \frac{1}{2} \left.\right) \Rightarrow\) Nghiệm là \(\frac{1}{2}\)

q) \(5 - 3 x = - 3 x + 5 = - 3 x + \left(\right. - 3 \left.\right) . \left(\right. - \frac{5}{3} \left.\right) = - 3 \left(\right. x - \frac{5}{3} \left.\right) \Rightarrow\) Nghiệm là \(\frac{5}{3}\)

p) \(3 x - 6 = 3 x + 3. \left(\right. - 2 \left.\right) = 3 \left(\right. x - 2 \left.\right) \Rightarrow\) Nghiệm là 2

a) \(2^3:\left|x-2\right|=2\)

\(\Leftrightarrow8:\left|x-2\right|=2\)

\(\Leftrightarrow\left|x-2\right|=8:2\)

\(\Leftrightarrow\left|x-2\right|=4\)

Xét trường hợp 1: \(x-2=4\)

\(\Rightarrow x=4+2\)

\(\Rightarrow x=6\)

Xét trường hợp 2: \(x-2=-4\)

\(\Rightarrow x=-4+2\)

\(\Rightarrow x=-\left(4-2\right)\)

\(\Rightarrow x=-2\)

Vậy \(x=6\) hoặc \(x=-2\)

b)