Question

Perform the indicated operation (3x^3-2x^2+4x-3)(x+2)

Answer 1

3x^{4} + 4x³ + 5x - 6

Explanation:

Given in the question is an expression

(3x³ - 2x² + 4x - 3)(x + 2)

Apply distributive law

(3x³ - 2x² + 4x - 3)(x) + (2)(3x³ - 2x² + 4x - 3)

3
`x^(4)` - 2x³ + 4x² -3x + 6x³ - 4x² + 8x - 6

Rearrange the like terms

3
`x^(4)` + x³(-2+6) +x²(4-4) +x(-3+8) - 6

3
`x^(4)` + 4x³ + 5x - 6

After performing indicated operation the result is

`3x^(4)+4x^(3)+5x-6`