1/2 xy.3xy mũ 2 bằng
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a: \(-3xy^2+x^2y^2-5x^2y\)
\(=xy\left(-3y+xy-5x\right)\)
c: \(y^2+xy+y=y\left(y+x+1\right)\)
a: \(C-D=x^2y^2+3xy+y^2-5xy-x^2-2x^2y^2+y^2+xy+5\)
\(=-x^2y^2-xy+2y^2+5\)
b: \(D-C=x^2y^2+xy-2y^2-5\)
b)x2(x+1)-(x+1)=(x+1)(x2-1)
d) 4x(x-2)-(x-2)=(x-2)(4x-1)
câu a bn ghi mik k hỉu
B1 : a, M = x3-3xy(x-y)-y3-x2+2xy-y2
= ( x3-y3)-3xy(x-y) -(x2-2xy+y2)
= (x-y)(x2+xy+y2)-3xy(x-y)-(x-y)2
= (x-y) [(x2+xy+y2-3xy-(x-y)]
= (x-y)[(x2-2xy+y2)-(x-y)
= (x-y)[(x-y)2-(x-y)]
= (x-y)(x-y)(x-y-1)
= (x-y)2(x-y-1)
= 72(7-1) = 49 . 6= 294
N = x2(x+1)-y2(y-1)+xy-3xy(x-y+1)-95
= x3+x2-(y3-y2)+xy-(3x2y-3xy2+3xy)-95
= x3+x2-y3+y2+xy-3x2y+3xy2-3xy-95
= (x3-y3)+(x2-2xy+y2)-(3x2y+y2)-(3x2y-3xy2)-95
=(x-y)(x2+xy+y2)+(x-y)2-3xy(x-y)-95
= (x-y)(x2+xy+y2+x-y-3xy)-95
= (x-y)[(x2-2xy+y2)+(x-y)]-95
= (x-y)[(x-y)2+(x-y)]-95
=(x-y)(x-y)(x-y+1)-95
= (x-y)2(x-y+1)-95
= 72(7+1)-95=297
chứng tỏ rằng giá trị của đa thức: P= -3xy mũ 3 + 5y mũ 2 - 3/2 xy + 2x mũ 2 tay y= -x luôn không âm
a: \(P=2x^2+3xy+y^2=\left(2x+y\right)\left(x+y\right)\)
\(=\left(2\cdot\dfrac{-1}{2}+\dfrac{2}{3}\right)\left(\dfrac{-1}{2}+\dfrac{2}{3}\right)\)
\(=\dfrac{-1}{3}\cdot\dfrac{1}{6}=-\dfrac{1}{18}\)
d: \(Q=\dfrac{-1}{3}x^4y^2=\dfrac{-1}{3}\cdot16\cdot\dfrac{1}{16}=-\dfrac{1}{3}\)
a, 3x2 - 3xy - 5x + 5y
= 3x(x - y) - 5(x - y)
= (x - y)(3x - 5)
b khó nhìn gê :( chỗ 2x^2 y á
c, x2 + x - 56
= x2 + 8x - 7x - 56
= x(x + 8) - 7(x + 8)
= (x + 8)(x - 7)
b) \(x^3+2x^2y+xy^2-4x\)
\(=x\left(x^2+2xy+y^2-4\right)\)
\(=x\left[\left(x+y\right)^2-2^2\right]\)
\(=x\left(x+y+2\right)\left(x+y-2\right)\)
a)\(3xy+5xy^2-xy^2\)
\(=3xy+4xy^2=xy\left(4y+3\right)\)
b)\(x\left(y-x\right)+3\left(y-x\right)\)
\(=\left(x+3\right)\left(y-x\right)\)
mũ 4
\(\dfrac{1}{2}xy.3xy^2\\ =\dfrac{3}{2}x^2y^3\)