Question

Phân tích đa thức sau thành nhân tử

a\(x^3z+x^2yz-x^2z^2-xyz^2\)

b.\(p^{m+2}q-p^{m+1}q^3-p^2q^{n+1}+pq^{n+3}\)

Answer 1

a.\(\text{\(x^3z+x^2yz-x^2z^2-xyz^2\)}\)

\(=\left(x^3z+x^2yz\right)-\left(x^2z^2+xyz^2\right)=x^2z\left(x+y\right)-xz^2\left(x+y\right)\)

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

\(\text{ }\)

Answer 2

b.gọi biểu thức là P ta có :

\(P=p^{m+1}q\left(p-q^2\right)-pq^{n+1}\left(p-q^2\right)\)

\(P=\left(p-q^2\right)\left(p^{m+1}q-pq^{n+1}\right)=pq\left(p-q^2\right)\left(p^m-q^n\right)\)