Question

A(x)=\(3x^4-\frac{3}{4}x^3+2x^2-3\)

B(x)=\(8x^4+\frac{1}{5}x^3-9x+\frac{2}{5}\)

Tính A(x)+B(x) ; A(x)-B(x) ; B(x)-A(x)

Answer 1

\(A\left(x\right)+B\left(x\right)=3x^4-\frac{3}{4}x^3+2x^2-3+8x^4+\frac{1}{5}x^3-9x+\frac{2}{5}\)

\(=11x^4-\frac{11}{20}x^3+2x^2-\frac{13}{5}-9x\)

\(A\left(x\right)-B\left(x\right)=3x^4-\frac{3}{4}x^3+2x^2-3-8x^4-\frac{1}{5}x^3+9x-\frac{2}{5}\)

\(=-5x^4-\frac{19}{20}x^3+2x^2-\frac{17}{5}+9x\)

Bn làm nót nhé, tương tự thôi 

Answer 2

\(A\left(x\right)+B\left(x\right)\)

\(=\left(3x^4-\frac{3}{4}x^3+2x^2-3\right)+\left(8x^4+\frac{1}{5}x^3-9x+\frac{2}{5}\right)\)

\(=11x^4-\frac{11}{20}x^3+2x^2-9x-\frac{13}{5}\)

\(A\left(x\right)-B\left(x\right)\)

\(=3x^4-\frac{3}{4}x^3+2x^2-3-8x^4-\frac{1}{5}x^3+9x-\frac{2}{5}\)

\(=-5x^4-\frac{19}{20}x^3+2x^2+9x-\frac{17}{5}\)

\(B\left(x\right)-A\left(x\right)\)

\(=8x^4+\frac{1}{5}x^3-9x+\frac{2}{5}-3x^4+\frac{3}{4}x^3+2x^2-3\)

\(=5x^4+\frac{19}{20}x^3+2x^2-9x-\frac{13}{5}\)