Bài 1/ Thực hiện các phép tính sau: a/ 5x(2x2 –x+1) b/(x–3)(x2 +3x+9) c/ (15x3y2 – 6x2y – 3x2y2) : 6x2y d/ (2x3 – 21x2 + 67x – 60): (x – 5) Mn giải giúp hộ em vs
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\(a,=10x^3-5x^2+5x\\ b,=x^3+27\\ c,=\dfrac{5}{2}xy-1-\dfrac{1}{2}y\\ d,=\left(2x^3-10x^2-11x^2+55x+12x-60\right):\left(x-5\right)\\ =\left[2x^2\left(x-5\right)-11x\left(x-5\right)+12\left(x-5\right)\right]:\left(x-5\right)\\ =2x^2-11x+12\)
a) \(\left(2x-y\right)\left(4x^2-2xy+y^2\right)\)
\(=8x^3-4x^2y+2xy^2-4xy^2+2xy^2-y^3\)
\(=8x^3-8x^2y+4xy^2-y^3\)
b) \(\left(6x^5y^2-9x^4y^3+15x^3y^4\right):3x^3y^2\)
\(=2x^2-3xy+5y^2\)
a)=\(3x^3-15x^2+21x\)
b)\(=-2x^4y-10x^2y+2xy\)
c)\(=-x^3+6x^2+5x-4x^2+24x+20=-x^3+2x^2+29x+20\)
d)\(=2x^4-3x^3+4x^2-2x^2+3x-4=2x^4-3x^32x^2+3x-4\)
e)\(=x^2-4y^2\)
f)\(=-2x^2y^3+y-3\)
g)\(=3xy^4-\dfrac{1}{2}y^2+2x^2y\)
h)\(=9x^2-6x+1-7x^2-14=2x^2-6x-13\)
i)\(=x^2-x-3\)
j)\(=\left(x+2y\right)\left(x^2-2y+4y^2\right):\left(x+2y\right)=x^2-2y+4y^2\)
f: \(=\dfrac{2x^3-10x^2-11x^2+55x+12x-60}{x-5}=2x^2-11x+12\)
Bài 1:
a: \(=2x^2-3xy+5y^2\)
b: \(=\dfrac{2x^3-10x^2-11x^2+55x+12x-60}{x-5}=2x^2-11x+12\)
c: \(=\dfrac{6x^3+3x^2-10x^2-5x+4x+2}{2x+1}=3x^2-5x+2\)
c: \(=\dfrac{\left(x+3\right)^2-y^2}{x+y+3}=x+3-y\)
a) \(=5x^3-x^2+2\)
b) \(=\dfrac{15}{6}xy-1-\dfrac{1}{2}y\)
\(a,=5x^3-x^2+2\\ b,=\dfrac{5}{2}x^2\cdot\dfrac{3}{2}y-1-\dfrac{1}{2}x\cdot\dfrac{1}{2}y=\dfrac{15}{4}x^2y-\dfrac{1}{4}xy-1\)
(15x3y2 - 6x2y - 3x2y2) : 6x2y
\(\dfrac{15x^3y^2}{6x^2y}-\dfrac{6x^2y}{6x^2y}-\dfrac{3x^2y^2}{6x^2y}\)
= \(\dfrac{5}{2}\)xy - \(\dfrac{1}{2}\)y
Chúc bạn học tốt
Ta có: \(\left(15x^3y^2-6x^2y-3x^2y^2\right):6x^2y\)
\(=\dfrac{15x^3y^2}{6x^2y}-\dfrac{6x^2y}{6x^2y}-\dfrac{3x^2y^2}{6x^2y}\)
\(=\dfrac{5xy}{2}-1-\dfrac{y}{2}\)