Question

giải giúp mình nha cảm ơn mọi người

Answer 1

1. \(\left(2x^2-3x+1\right)+\left(3x^2+2x-1\right)\)

\(=2x^2-3x+1+3x^2+2x-1\)

\(=\left(2x^2+3x^2\right)-\left(3x-2x\right)+\left(1-1\right)\)

\(=5x^2-x\)

2. \(\left(4x^3-2x^2+3x\right)-\left(2x^3+3x^2-4x\right)\)

\(=4x^3-2x^2+3x-2x^3-3x^2+4x\)

\(=\left(4x^3-2x^3\right)-\left(2x^2+3x^2\right)+\left(3x+4x\right)\)

\(=2x^3-5x^2+7x\)

3. \(\left(x^2-5x+6\right)+\left(-3x^2+2x-1\right)\)

\(=x^2-5x+6-3x^2+2x-1\)

\(=\left(x^2-3x^2\right)-\left(5x-2x\right)+\left(6-1\right)\)

\(=-2x^2-3x+5\)

Answer 2

4. \(\left(2x^3+5x^2-3x+1\right)-\left(x^3-2x^2+x-1\right)\)

\(=2x^3+5x^2-3x+1-x^3+2x^2-x+1\)

\(=\left(2x^3-x^3\right)+\left(5x^2+2x^2\right)-\left(3x+x\right)+\left(1+1\right)\)

\(=x^3+7x^2-4x+2\)

5. \(\left(3x^2+2x-4\right)+\left(4x^2-x+5\right)\)

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

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

\(=7x^2+x+1\)

6. \(\left(x^3-2x^2+5x-1\right)-\left(2x^3+3x^2-4x+2\right)\)

\(=x^3-2x^2+5x-1-2x^3-3x^2+4x-2\)

\(=\left(x^3-2x^3\right)-\left(2x^2+3x^2\right)+\left(5x+4x\right)-\left(1+2\right)\)

\(=-x^3-5x^2+9x-3\)