Question

Simplify the following polynomial expression. (5^4-9^3+7x-1)+(-8^4x^2-3x+2)-(-4x^3+5x-1)(2x-7)

Answer 1

The simplified expression is 5$x^{4}$ -37 x³ - 6x² +41x -6.

What is expression?

An expression is a combination of numbers, variables, functions (such as addition, subtraction, multiplication or division etc.)

Given:

(5$x^{4}$ - 9x³ + 7x -1) + ( -8$x^{4}$+ 4x² - 3x + 2) - ( -4x³ + 5x -1) (2x - 7)

Now,

5$x^{4}$ - 9x³ + 7x -1 -8$x^{4}$+ 4x² - 3x + 2 - ( -4x³ + 5x -1) (2x - 7)

=5$x^{4}$ - 9x³ + 7x -1 -8$x^{4}$+ 4x² - 3x + 2-(-8$x^{4}$+28x³ +10x² - 35x -2x +7

= 5$x^{4}$ - 9x³ + 7x -1 -8$x^{4}$+ 4x² - 3x + 2 +8$x^{4}$- 28x³  - 10x² + 35x + 2x - 7

=  5$x^{4}$ -37 x³ - 6x² +41x -6

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