a) \(14x^2y-21xy^2+28x^2y^2=7xy\left(2x-3y+4xy\right)\)

b) \(3x^2-3xy-5x+5y=3x\left(x-y\right)-5\left(x-y\right)=\left(3x+5\right)\left(x-y\right)\)

\(a,14x^2y-21xy^2+28x^2y^2=7xy\left(x-3y+4xy\right)\\ b,x\left(x+y\right)-5x-5y=x\left(x+y\right)-5\left(x+y\right)=\left(x+y\right)\left(x-5\right)\\ c,10x\left(x-y\right)-8\left(y-x\right)=10x\left(x-y\right)+8\left(x-y\right)=\left(x-y\right)\left(10x+8\right)=2\left(x-y\right)\left(5x+4\right)\)

\(d,\left(3x+1\right)^2-\left(x+1\right)^2=\left(3x+1-x-1\right)\left(3x+1+x+1\right)=2x\left(4x+2\right)=4x\left(2x+1\right)\)\(e,x^3+y^3+z^3-3xyz=\left(x+y+z\right)\left(x^2+y^2+z^2-xy-yz-zx\right)+3xyz-3xyz=\left(x+y+z\right)\left(x^2+y^2+z^2-xy-yz-zx\right)\)

a: \(12x^3-6x^2+3x\)

\(=3x\cdot4x^2-3x\cdot2x+3x\cdot1\)

\(=3x\left(4x^2-2x+1\right)\)

b: \(\dfrac{2}{5}x^2+5x^3+x^2y\)

\(=x^2\cdot\dfrac{2}{5}+x^2\cdot5x+x^2\cdot y\)

\(=x^2\left(\dfrac{2}{5}+5x+y\right)\)

c: \(14x^2y-21xy^2+28x^2y^2\)

\(=7xy\cdot2x-7xy\cdot3y+7xy\cdot4xy\)

\(=7xy\left(2x-3y+4xy\right)\)

a) \(3x-3y=3\left(x-y\right)\)

b)\(2x^2+5x^3+x^2y=x^2\left(2+5x+y\right)\)

c)\(14x^2-21xy^2+28x^2y^2=7x\left(2x+3y^2+4xy^2\right)\)

Chúc bạn học tốt

nái sừ, good job

ngất

vào bệnh viện hoặc đến nơi khám chữa bệnh gần nhà nhất ko kịp thì die

\(a.5x-20y\)

\(\Leftrightarrow5\left(x-4y\right)\)

\(b.14x^2y-21xy^2+28x^2y^2\)

\(\Leftrightarrow7xy\left(2x-3y+4xy\right)\)

\(c.x\left(x+y\right)-5x-5y\)

\(\Leftrightarrow x\left(x+y\right)-5\left(x+y\right)\)

\(\Leftrightarrow\left(x-5\right)\left(x+y\right)\)

\(d.10x\left(x-y\right)-8y\left(y-x\right)\)

\(\Leftrightarrow10x\left(x-y\right)+8y\left(x-y\right)\)

\(\Leftrightarrow2\left(5x+4y\right)\left(x-y\right)\)

14x²y - 21xy² + 28x²y² = 7xy(2x - 3y + 4xy)

cảm ơn