Question

phân tích dâ thức thành nhân tử

25x-10x^2y+y^3

8x^3+36x^2y+54xy^2+27y^3

x^4+2x^3-4x-4

x^3+2x^y-x-2y

x^2-y^2-4x+4y

x^2-16x+15

5x^2+11x+6

x^8+64

Answer 1

\(x^8+64\)

\(=x^8+16x^4+64-16x^4\)

\(=\left(x^4\right)^2+2.x^4.8+8^2-16x^4\)

\(=\left(x^4+8\right)^2-\left(4x^2\right)^2\)

\(=\left(x^4+8-4x^2\right)\left(x^4+8+4x^2\right)\)

Answer 2

5x²+11x+6

=5x²+5x+6x+6

=(5x²+5x)+(6x+6)

=5x(x+1)+6(x+1)

=(x+1)(5x+6)

Answer 3

x2-16x+15

= x²-x-15x+15

= (x²-x)-(15x-15)

= x(x-1)-15(x-1)

=(x-1)(x-15)