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1,
a,\(2x\left(3x^2-5x+3\right)\)
\(=6x^3-10x^2+6x\)
b,\(-2x\left(x^2+5x-3\right)\)
\(=-2x^3-10x^2+6x\)
c,\(-\dfrac{1}{2}x\left(2x^3-4x+3\right)\)
\(=-x^4+2x^2-\dfrac{3}{2}x\)
Bài 2:
a) \(\left(2x-1\right)\left(x^2-5-4\right)\)
\(=\left(2x-1\right)\left(x^2-9\right)\)
\(=2x^3-18x-x^2+9\)
b) \(-\left(5x-4\right)\left(2x+3\right)\)
\(=-\left(10x^2+15x-8x-12\right)\)
\(=-10x^2-7x+12\)
c) \(\left(2x-y\right)\left(4x^2-2xy+y^2\right)\)
\(=8x^3-y^3\)
\(a,x^2\left(x-2x^3\right)\)
\(=x^3-2x^5\)
\(b,\left(x-2\right)\left(x-x^2+4\right)\)
\(=x^2-x^3+4x-2x+2x^2-8\)
\(=3x^2-x^3+2x-8\)
\(c,\left(x^2-1\right)\left(x^2+2x\right)\)
\(=x^4+2x^3-x^2-2x\)
\(d,\left(2x-1\right)\left(3x+2\right)\left(3-x\right)\)
\(=\left(6x^2+4x-3x-2\right)\left(3-x\right)\)
\(=\left(6x^2+x-2\right)\left(3-x\right)\)
\(=18x^2+3x-6-6x^3-x^2+2x\)
\(=17x^2+5x-6-6x^3-x^2\)
\(e,\left(x+3\right)\left(x^2+3x-5\right)\)
\(=x^3+3x^2-5x+3x^2+9x-15\)
\(=x^3+6x^2+4x-15\)
\(f,\left(xy-2\right)\left(x^3-2x-6\right)\)
\(=x^4y-2x^2y-6xy-2x^3+4x-12\)
\(g,\left(5x^3-x^2+2x-3\right)\left(4x^2-x+2\right)\)
\(=20x^5-4x^4+8x^3-12x^2-5x^4+x^3-2x^2+3x+10x^3-2x^2+4x-6\)
\(=20x^5-9x^4+19x^3-16x^2+7x-6\)
a. x2(x−2x3)= x3-2x5
b. (x−2)(x−x2+4)= x2-x3+4x-2x+2x2-8= -x3+3x2+2x-8
c. (x2−1)(x2+2x)= x4+2x3-x2-2x
d. (2x−1)(3x+2)(3−x) = (6x2+x-2)(3-x)=18x2-6x3+3x-x2-6+2x =-6x3+17x2+5x-6
e. (x+3)(x2+3x−5)= x3+3x2-5x+3x2+9x-15= x3+6x2+4x-15
f. (xy−2)(x3−2x−6)= x4y-2x2y-6xy-2x3+4x+12
g. (5x3−x2+2x−3)(4x2−x+2)= 20x5-9x4+19x3-12x2+7x-6
1) 3(x - 1)2 - 3x(x - 5) = 1
⇒ 3(x2 - 2x + 1) - 3x2 + 15x = 1
⇒ 3x2 - 6x + 3 - 3x2 + 15x = 1
⇒ 9x = 1 - 3
⇒ 9x = -2
⇒ x = \(\dfrac{-2}{9}\)
2) (6x−2)2+(5x−2)2−4(3x−1)(5x−2)=0
⇒ (6x - 2)2 + (5x - 2)2 -4(6x - 2)(5x - 2) = 0
⇒ (6x - 2)2 -2(6x - 2)(5x - 2) + (5x - 2)2 -2(6x - 2)(5x - 2) = 0
⇒ (6x - 2)(6x - 2 - 5x +2) + (5x - 2)(5x - 2 - 6x + 2) = 0
⇒ x(6x - 2) - x(5x - 2) = 0
⇒ x(6x - 2 - 5x +2) = 0
⇒ xx = 0
⇒ x = 0
Còn mấy cái sau mình trả lời sau nha
Còn hai câu sau nữa nè :)
3) (2x - 5)(2x + 5) - 1 = 0
⇒ 4x2 - 25 - 1 = 0
⇒ 4x2 = 26
⇒ x2 = \(\dfrac{13}{2}\)
⇒ x = \(\sqrt{\dfrac{13}{2}}\) hoặc x = -\(\sqrt{\dfrac{13}{2}}\)
4) 5x2 - 20 = 0
⇒ 5x2 = 20
⇒ x2 = 4
⇒ x = 2 hoặc x = -2
a) 2x(x-3)+5(x-3)=0
\(\Leftrightarrow\left(x-3\right)\left(2x+5\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x-3=0\\2x+5=0\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}x=3\\x=-\frac{5}{2}\end{matrix}\right.\)
Vậy: phương trình đã cho có tập nghiệm S=\(\left\{3;-\frac{5}{2}\right\}\)
b)(2x - 1)^2 - (2x + 5) (2x - 5 ) = 18
4x 2 -4x+1-4x 2+25=18
26-4x=18
4x=8
x=2
a,27x-18=2x-3x^2
<=> 3x^2-2x+27-18x=0
<=> 3x^2-20x+27=0
\(\Delta\)= 20^2-4-12.27
tính \(\Delta\)rồi tìm x1 ,x2