What is (2x-1)(4x^2+2x+1)-8(x^3+1) ?

The solution to (2x-1)(4x^2+2x+1)-8(x^3+1) is -9

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simplify (2x-1)(4x^2+2x+1)-8(x^3+1)

simplify

(2 x - 1) (4 x^{2} + 2 x + 1) - 8 (x^{3} + 1)

- 9

Solution steps

(2 x - 1) (4 x^{2} + 2 x + 1) - 8 (x^{3} + 1)

Expand

(2 x - 1) (4 x^{2} + 2 x + 1) : 8 x^{3} - 1

= 8 x^{3} - 1 - 8 (x^{3} + 1)

Expand

- 8 (x^{3} + 1) : - 8 x^{3} - 8

= 8 x^{3} - 1 - 8 x^{3} - 8

Group like terms

= 8 x^{3} - 8 x^{3} - 1 - 8

Add similar elements:

8 x^{3} - 8 x^{3} = 0

= - 1 - 8

Subtract the numbers:

- 1 - 8 = - 9

= - 9

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What is (2x-1)(4x^2+2x+1)-8(x^3+1) ?
The solution to (2x-1)(4x^2+2x+1)-8(x^3+1) is -9