Question

Phân tích đa thức thành nhân tử giúp với dg cần gấp ❤️🥰

36x²-(3x-2)²

-49x²+9

X⁶-1 phần 64

 

 

Answer 1

\(36x^2-\left(3x-2\right)^2\)

\(=\left(6x\right)^2-\left(3x-2\right)^2\)

\(=\left(6x+3x-2\right)\left(6x-3x+2\right)\)

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

Answer 2

\(-49x^2+9\)

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

\(=\left(3-7x\right)\left(3+7x\right)\)

Answer 3

\(x^6-\frac{1}{64}\)

\(=\left(x^3\right)^2-\left(\frac{1}{8}\right)^2\)

\(=\left(x^3-\frac{1}{8}\right)\left(x^3+\frac{1}{8}\right)\)

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