Subtract.show complete work

(2x8 – x3 + 4x2 + 5) – (8x7 + 8x3 – 4x)

Online "^" is used to indicate exponents.

(2x^8 – x^3 + 4x^2 + 5) – (8x^7 + 8x^3 – 4x)

2x^8 – x^3 + 4x^2 + 5 – 8x^7 - 8x^3 + 4x

Combine like terms.

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To subtract the given expression, we will distribute the negative sign to each term inside the second parentheses. So, the expression becomes:

(2x^8 – x^3 + 4x^2 + 5) + (-8x^7 - 8x^3 + 4x)

Now, let's combine like terms:

2x^8 + (-8x^7) - x^3 + (-8x^3) + 4x^2 + 4x + 5

To combine the terms with the same exponent, simply add or subtract the coefficients (numbers in front of the variables) while keeping the variable and exponent the same:

(2x^8 - 8x^7) - (x^3 + 8x^3) + 4x^2 + 4x + 5

Now, grouping the like terms together:

2x^8 - 8x^7 - 9x^3 + 4x^2 + 4x + 5

So, the final answer after subtracting the given expression is: 2x^8 - 8x^7 - 9x^3 + 4x^2 + 4x + 5.