Question

Simplify:

(3x3+5x2−9x−2)−(2x3+3x2−x−3)?

A. x3+8x2−8x+1
B. x3+8x2−10x−5
C. x3+2x2−8x+1
D. x3+2x2−10x+1

Answer 1

The expression (3x³+5x²−9x−2) − (2x³+3x²−x−3) simplifies to x³ + 2x² − 8x + 1, which is option C.

Step-by-step explanation:

To simplify the expression (3x³+5x²−9x−2) − (2x³+3x²−x−3), we need to subtract the second polynomial from the first one term by term.

1. Subtract the cubic terms: 3x³ − 2x³ = x³.
2. Subtract the quadratic terms: 5x² − 3x² = 2x².
3. Subtract the linear terms: (−9x) − (−x) = −8x.
4. Subtract the constant terms: (−2) − (−3) = +1.

Combining these results, the simplified form of the given expression is x³ + 2x² − 8x + 1, which corresponds to option C.

Answer 2

Step-by-step explanation:

Answer is;−

9

x

−

2

−

2

x

3

−

3

x

2

+

x

+

3

Simplify by adding terms.

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x

3

+

2

x

2

−

8

x

+

1