Question

When (2x^(3)+3x^(2)-7x) is subtracted from (10x^(3)+7x^(2)-7) the result is

Answer 1

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

Step-by-step 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