Question

Tìm đa thức K biết: ( 5x² - 7x²y³ + 3y⁴ ) - K = 3x² - 7x²y³ - 3y⁴

 3x^2-8x+5-k=-2k+4x-6+x^2

Answer 1

\(\left(5x^2-7x^2y^3+3y^4\right)-K=3x^2-7x^2y^3-3y^4\)

\(\Rightarrow K=\left(5x^2-7x^2y^3+3y^4\right)-\left(3x^2-7x^2y^3-3y^4\right)\)

\(\Rightarrow K=5x^2-7x^2y^3+3y^4-3x^2+7x^2y^3+3y^4\)

\(\Rightarrow K=2x^2+6y^4\)

________________

\(3x^2-8x+5-K=-2K+4x-6+x^2\)

\(\Rightarrow-K+2K=\left(4x-6+x^2\right)-\left(3x^2-8x+5\right)\)

\(\Rightarrow K=4x-6+x^2-3x^2+8x-5\)

\(\Rightarrow K=-2x^2+12x-11\)