Question

Phân tích đa thức thành phân tử

a.(x+y )²-(x+y)

5(x-3)-a(a-x)

x³-x

x²-36

x²-3

4²+24x+x²

x³-27.b³

27X²-1

5x²-10x²+5x

Answer 1

a) \(\left(x+y\right)^2-\left(x+y\right)\)

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

\(=x+y.\)

c) \(x^3-x\)

\(=x.\left(x^2-1\right).\)

d) \(x^2-36\)

\(=x^2-6^2\)

\(=\left(x-6\right).\left(x+6\right)\)

e) \(x^2-3\)

\(=x^2-\left(\sqrt{3}\right)^2\)

\(=\left(x-\sqrt{3}\right).\left(x+\sqrt{3}\right)\)

h) \(x^3-27.b^3\)

\(=\left(x^3-27\right).b^3\)

\(=\left(x^3-3^3\right).b^3\)

\(=\left(x-3\right).\left(x^2+3x+3^2\right).b^3\)

\(=\left(x-3\right).\left(x^2+3x+9\right).b^3\)

Chúc bạn học tốt!