High School

When [tex]2x^{3} + 3x^{2} - 7x[/tex] is subtracted from [tex]10x^{3} + 7x^{2} - 7[/tex], what is the result?

Answer :

Final answer:

The result of subtracting (2x^3+3x^2-7x) from (10x^3+7x^2-7) is 8x^3 + 4x^2 + 7x - 7.

Explanation:

Subtracting Polynomial Expressions

When subtracting one polynomial from another, you should subtract each corresponding term separately. Let's subtract (2x^3+3x^2-7x) from (10x^3+7x^2-7). The process is explained below:

  1. Subtract coefficients of x^3 terms: 10x^3 - 2x^3 = 8x^3.
  2. Subtract coefficients of x^2 terms: 7x^2 - 3x^2 = 4x^2.
  3. Subtract coefficients of x terms: -7 - -7x = -7+7x which simplifies to 7x - 7.

So the result of the subtraction is: 8x^3 + 4x^2 + 7x - 7.

Learn more about Subtracting Polynomials