Question

phan tich cac da thuc sau thanh nhan tu :

a,2x+ 2y

b,5x+20y

c,6xy-30y

d,5x(x-110-10y(x-11)

e,x\(^3\)-4x\(^2\)+x

f,x(x+y)-(2x+2y)

h,5x(x-2y)+2(2y-x)

i,x\(^2\)y\(^3\)-\(\dfrac{1}{2}\)x\(^4\)y\(^8\)

j, a\(^2\)b\(^4\)+a\(^3\)b-abc

k, -x\(^2\)y\(^2\)z-6x\(^3\)y-8x\(^4\)z\(^2\)-9x\(^5\)y\(^5\)z\(^5\)

l, 7x(y-4)\(^2\)-(4-7)\(^3\)

Answer 1

a) \(2x+2y\)

\(=2\left(x+y\right)\)

b) \(5x+20y\)

\(=5\left(x+4y\right)\)

c) \(6xy-30y\)

\(=6y\left(x-5\right)\)

d) \(5x\left[x-110-10y\left(x-11\right)\right]\)

\(=5x\left(x-110-10xy+110\right)\)

\(=5x\left(x-10xy\right)\)

\(=5x^2\left(1-10y\right)\)

e) \(x^3-4x^2+x\)

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

f) \(x\left(x+y\right)-\left(2x+2y\right)\)

\(=x\left(x+y\right)-2\left(x+y\right)\)

\(=\left(x+y\right)\left(x-2\right)\)

h) \(5x\left(x-2y\right)+2\left(2y-x\right)\)

\(=5x\left(x-2y\right)-2\left(x-2y\right)\)

\(=\left(x-2y\right)\left(5x-2\right)\)

i) \(x^2y^3-\dfrac{1}{2}x^4y^8\)

\(=x^2y^3\left(1-\dfrac{1}{2}xy^5\right)\)

j) \(a^2b^4+a^3b-abc\)

\(=ab\left(ab^3+a^2-c\right)\)