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![](https://rs.olm.vn/images/avt/0.png?1311)
Sửa đề :
\(2x^3+8x^2+8x\)
\(=2x\left(x^2+4x+4\right)\)
\(=2x\left(x^2+2.x.2+2^2\right)\)
\(=2x\left(x+2\right)^2\)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(A=2x^4+4x^3-7x^3-14x^2+8x^2+16x\)
\(=2x^2\left(x^2+2x\right)-7x\left(x^2+2x\right)+8\left(x^2+2x\right)\)
\(=\left(2x^2-7x+8\right)\left(x^2+2x\right)\)
\(=x\left(x+2\right)\left(2x^2-7x+8\right)\)
\(B=2x\left(x^2-4x+4-y^2\right)\)
\(=2x\left(\left(x-2\right)^2-y^2\right)\)
\(=2x\left(x-y-2\right)\left(x+y-2\right)\)
\(C=x\left(8y^2+8xy+2x^2-z^2\right)\)
\(=x\left(2\left(4y^2+4xy+x^2\right)-z^2\right)\)
\(=x\left(2\left(x+2y\right)^2-z^2\right)\)
\(=x\left(\sqrt{2}x+2\sqrt{2}y-z\right)\left(\sqrt{2}x+2\sqrt{2}y+z\right)\)
\(D=4a^4+10a^3+6a^2-6a^2-15a-9\)
\(=2a^2\left(2a^2+5a+3\right)-3\left(2a^2+5a+3\right)\)
\(=\left(2a^2-3\right)\left(2a^2+5a+3\right)\)
\(E=4a^3-ab^2+2ab-4a^2\)
\(=a\left(4a^2-b^2\right)-2a\left(2a-b\right)\)
\(=a\left(2a+b\right)\left(2a-b\right)-2a\left(2a-b\right)\)
\(=\left(2a-b\right)\left(2a^2+ab-2a\right)\)
\(F=5a^2-10a-4a+8\)
\(=5a\left(a-2\right)-4\left(a-2\right)\)
\(=\left(5a-4\right)\left(a-2\right)\)
\(G=a\left(2x+3y\right)-\left(2x+3y\right)\)
\(=\left(a-1\right)\left(2x+3y\right)\)
phân tích đa thức ->nhân tử:
a)2x2+4x-70
b)x3-5x2+8x-4
c)x2-10+16
rút gọn:
(8x-8x3-10x2+3x4-5):(3x2-2x+1)
![](https://rs.olm.vn/images/avt/0.png?1311)
Bài 1:
a)2x2+4x-70
=2(x2+2x-35)
=2(x2+7x-5x-35)
=2[x(x+7)-5(x+7)]
=2(x-5)(x+7)
b)x3-5x2+8x-4
=x3-4x2+4x-x2+4x-4
=x(x2-4x+4)-(x2-4x+4)
=(x2-4x+4)(x-1)
=(x-2)2(x-1)
c)x2-10x+16
=x2-2x-8x+16
=x(x-2)-8(x-2)
=(x-8)(x-2)
Bài 2:
\(\frac{8x-8x^3-10x^2+3x^4-5}{3x^2-2x+1}=\frac{\left(x^2-2x-5\right)\left(3x^2-2x+1\right)}{3x^2-2x+1}=x^2-2x-5\)
![](https://rs.olm.vn/images/avt/0.png?1311)
c) 49x2+14x+1=0
=>(7x+1)2=0
= > 7x+1=0
=> 7x=-1
=> x=-\(\dfrac{1}{7}\)
Tìm gì zậy bạn nói ra để mình giải cho
tick minhk nhé