Question

Simplify (10x3−x2+6x+3)+(x4−3x3+8x2−9x+16)

Answer 1

Answer: =x^4+7x^3+7x^2-3x+19

Explanation:

= 10x^3 -x^2 +6x +3 +x^4 -3x^3 +8x^2-9x+16

Step 1. Group like-terms. x^4+10x^3-3x^3-x^2+8x^2+6x-9x+3+16

Step 2. Add similar elements. x^4+7x^3-x^2+8x^2+6x-9x+3+16

Step 3. Keep adding similar elements. x^4+7x^3+7x^2+6x-9x+3+16

Step 4. Add similar elements, again. x^4+7x^3+7x^2-3x+3+16

Step 5. Final adding elements. x^4+7x^3+7x^2-3x+19