Question

Phân tích đa thức sau thành nhân tử:

a)    \(5x^3+10x^2y+5xy^2\)

b)     \(x^2-2xy+y^2-9\)

c)      \(2x^3y-2xy^3-4xy^2-2xy\)

Phân tích đa thức sau thành nhân tử: 

a)   \(x^4+2x^3+x^2\)

b)   \(4x^4+4x^3-x^2-x\)

c)    \(x^3-x+3x^2y+3xy^2+y^3-y\)

d)\(5x^2-10xy+5y^2-20z^2\)

h)\(9x^2+90x+225-\left(x-7\right)^2\)

Answer 1

Câu 2 nha

\(a,x^4+2x^3+x^2\)

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

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

Answer 2

\(c,x^2-x+3x^2y+3xy^2+y^3-y\)

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

\(=\left(x+y\right)^3-\left(x+y\right)\)

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

Answer 3

\(d,5x^2-10xy+5y^2-20z^2\)

\(=5\left(x^2-2xy+y^2-4z^2\right)\)

\(=5\left[\left(x-y\right)^2-4z^2\right]\)

\(=5\left[\left(x-y+2z\right)\left(x-y-2z\right)\right]\)

chiều lm tiếp cho 

Answer 4

\(h,9x^2+90x+225-\left(x-7\right)^2\)

\(=\left(3x+15\right)^2-\left(x-7\right)^2\)

\(=\left(4x+8\right)\left(2x+22\right)\)

\(=8\left(x+2\right)\left(x+11\right)\)