Bài 3.
a) \(\left(x+2\right)\left(x+4\right)\left(x+6\right)\left(x+8\right)+16\)
b)\(\left(x^2+x\right)\left(x^2+x+1\right)-6\)
c)\(\left(x^2-4x\right)^2-8\left(x-4x\right)+15\)
Những câu hỏi liên quan
Giải các phương trình sau:
a \(\left(x+2\right)\left(x+\text{4}\right)\left(x+6\right)\left(x+8\right)+16=0\)
b \(\left(x+2\right)\left(x+3\right)\left(x+4\right)\left(x+5\right)-24=0\)
c \(\left(4x+1\right)\left(12x-1\right)\left(3x+2\right)\left(x+1\right)-4=0\)
d \(\left(x^2-3x+2\right)\left(x^2+15x+56\right)+8=0\)
b: Ta có: \(\left(x+2\right)\left(x+3\right)\left(x+4\right)\left(x+5\right)-24=0\)
\(\Leftrightarrow\left(x^2+7x+10\right)\left(x^2+7x+12\right)-24=0\)
\(\Leftrightarrow\left(x^2+7x\right)^2+22\left(x^2+7x\right)+120-24=0\)
\(\Leftrightarrow x^2+7x+6=0\)
\(\Leftrightarrow\left(x+1\right)\left(x+6\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x=-1\\x=-6\end{matrix}\right.\)
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Bài 1 : Phân tích đa thức thành nhân tử
\(a,5x\left(x-2y\right)+2\left(2y-x\right)^2\)
\(b,7x\left(y-4\right)^2-\left(4-x\right)^3\)
\(c,\left(4x-8\right)\left(x^2+6\right)-\left(4x-8\right)\left(x+7\right)+9\left(8-4x\right)\)
Gpt:
a.\(\left(x^2-4x+3\right)^3+\left(x^2-7x+6\right)^3=\left(2x^2-11x+9\right)^3\)
b.\(\left(x+1\right)\left(x-4\right)\left(x+2\right)\left(x-8\right)+4x^2=0\)
a)Dat \(x^2-4x+3=a;x^2-7x+6=b \Rightarrow a+b=2x^2-11x+9\)
....
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giải pt :
a, \(\left(2x-6\right)\sqrt{x+4}-\left(x-5\right)\sqrt{2x+3}=3\left(x-1\right)\)
b, \(\left(4x+1\right)\sqrt{x+2}-\left(4x-1\right)\sqrt{x-2}=21\)
c, \(\left(4x+2\right)\sqrt{x+1}-\left(4x-2\right)\sqrt{x-1}=9\)
d, \(\left(2x-4\right)\sqrt{3x-2}+\sqrt{x+3}=5x-7+\sqrt{3x^2+7x-6}\)
a) \(^{ }\left(7x+4\right)^2-\left(7x-4\right)\left(7x+4\right)\)
b) \(^{ }8\left(x-2\right)-3\left(x^2-4x-5\right)-5x^2\)
c) \(^{^{ }}\left(x+1\right)^3-\left(x-1\right)\left(x^2+x+1\right)-3x\left(x+1\right)\)
a: Ta có: \(\left(7x+4\right)^2-\left(7x-4\right)\left(7x+4\right)\)
\(=\left(7x+4\right)\left(7x+4-7x+4\right)\)
\(=8\left(7x+4\right)\)
=56x+32
b: Ta có: \(8\left(x-2\right)^2-3\left(x^2-4x-5\right)-5x^2\)
\(=8x^2-32x+32-3x^2+12x+15-5x^2\)
\(=-20x+47\)
c: Ta có: \(\left(x+1\right)^3-\left(x-1\right)\left(x^2+x+1\right)-3x\left(x+1\right)\)
\(=x^3+3x^2+3x+1-x^3+1-3x^2-3x\)
=2
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a.2left(x-5right)-3left(x+7right)14b.5left(x-6right)-2left(x+3right)12c.3left(x-4right)-left(8-xright)12d.-7left(3x-5right)+2left(7x-14right)28e.5left(3-2xright)+5left(x-4right)6-4xf.-5left(2-xright)+4left(x-3right)10x-15g.2left(4x-8right)-7left(3+xright)|-4|left(3-2right)h.8left(x-|-7|right)-6left(x-2right)|-8|.6-50cứ từ từ mà giải cũng đc
Đọc tiếp
\(a.2\left(x-5\right)-3\left(x+7\right)=14\)
\(b.5\left(x-6\right)-2\left(x+3\right)=12\)
\(c.3\left(x-4\right)-\left(8-x\right)=12\)
\(d.-7\left(3x-5\right)+2\left(7x-14\right)=28\)
\(e.5\left(3-2x\right)+5\left(x-4\right)=6-4x\)
\(f.-5\left(2-x\right)+4\left(x-3\right)=10x-15\)
\(g.2\left(4x-8\right)-7\left(3+x\right)=|-4|\left(3-2\right)\)
\(h.8\left(x-|-7|\right)-6\left(x-2\right)=|-8|.6-50\)
cứ từ từ mà giải cũng đc
a) \(2\left(x-5\right)-3\left(x+7\right)=14\)
\(\Leftrightarrow2x-10-3x-21=14\)
\(\Leftrightarrow-x-31=14\)
\(\Leftrightarrow-x=45\Leftrightarrow x=-45\)
b) \(5\left(x-6\right)-2\left(x+3\right)=12\)
\(\Leftrightarrow5x-30-2x-6=12\)
\(\Leftrightarrow3x-36=12\)
\(\Leftrightarrow3x=48\Leftrightarrow x=16\)
c) \(3\left(x-4\right)-\left(8-x\right)=12\)
\(\Leftrightarrow3x-12-8+x=12\)
\(\Leftrightarrow4x-20=12\)
\(\Leftrightarrow4x=32\Leftrightarrow x=8\)
d) \(-7\left(3x-5\right)+2\left(7x-14\right)=28\)
\(\Leftrightarrow-21x+35+14x-28=28\)
\(\Leftrightarrow-7x+35=0\Leftrightarrow x=5\)
e)\(5\left(3-2x\right)+5\left(x-4\right)=6-4x\)
\(\Leftrightarrow15-10x+5x-20=6-4x\)
\(\Leftrightarrow-5-5x=6-4x\)
\(\Leftrightarrow-5x+4x=5+6\)
\(\Leftrightarrow-x=11\Leftrightarrow x=-11\)
f) \(-5\left(2-x\right)+4\left(x-3\right)=10x-15\)
\(\Leftrightarrow-10+5x+4x-12=10x-15\)
\(\Leftrightarrow-22+9x-10x+15=0\)
\(\Leftrightarrow-7-x=0\Leftrightarrow x=-7\)
Xem thêm câu trả lời
giải pt :a,\(\left(2x+6\right)\sqrt{x+4}-\left(x-5\right)\sqrt{2x+3}=3\left(x-1\right)\)
b, \(\left(4x+1\right)\sqrt{x+2}-\left(4x-1\right)\sqrt{x-2}=21\)
c, \(\left(4x+2\right)\sqrt{x+1}-\left(4x-2\right)\sqrt{x-1}=9\)
d, \(\left(2x-4\right)\sqrt{3x-2}+\sqrt{x+3}=5x-7+\sqrt{3x^2+7x-6}\)
Tìm x:
b, \(\left(2x-1\right)^2+\left(x+3\right)^2-5\left(x+7\right)\left(x-7\right)=0\)
c, \(\left(x-2\right)^3-\left(x-4\right)\left(x^2+4x+16\right)+6\left(x+1\right)^2=49\)
d, \(\left(x+2\right)\left(x^2-2x+4\right)-x\left(x^2+2\right)=15\)
\(b,\left(2x-1\right)^2+\left(x+3\right)^2-5\left(x+7\right)\left(x-7\right)=0\) \(\Leftrightarrow4x^2-4x+1+x^2+6x+9-5x^2+245=0\)\(\Leftrightarrow2x=-255\Rightarrow x=-\dfrac{255}{2}\)
\(c,\left(x-2\right)^3-\left(x-4\right)\left(x^2+4x+16\right)+6\left(x+1\right)^2=49\)\(\Leftrightarrow x^3-6x^2+12x-8-x^3+64+6x^2+12x+6-49=0\)\(\Leftrightarrow24x=-13\Rightarrow x=-\dfrac{13}{24}\)
\(d,\left(x+2\right)\left(x^2-2x+4\right)-x\left(x^2+2\right)=15\)
\(\Leftrightarrow x^3+8-x^3-2x=15\)
\(\Leftrightarrow-2x=23\Rightarrow x=-\dfrac{23}{2}\)
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Giải phương trình
a) \(\left(6x+5\right)^2\left(3x+2\right)\left(x+1\right)=35\)
b) \(\left(4x+1\right)\left(12x-1\right)\left(3x+2\right)\left(x+1\right)-4=0\)
c) \(\left(x-1\right)\left(x-3\right)\left(x^2-4x+8\right)=6\)
d) \(\left(x-1\right)\left(x+2\right)\left(x+4\right)\left(x+7\right)=16\)