Solve (8x^3-2x)div(-2x)-1 | Microsoft Math Solver

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\frac{2x\left(2x-1\right)\left(2x+1\right)}{-2x}-1

Factor the expressions that are not already factored in \frac{8x^{3}-2x}{-2x}.

\frac{\left(2x-1\right)\left(2x+1\right)}{-1}-1

Cancel out 2x in both numerator and denominator.

-\left(2x-1\right)\left(2x+1\right)-1

Anything divided by -1 gives its opposite.

-\left(\left(2x\right)^{2}-1\right)-1

Consider \left(2x-1\right)\left(2x+1\right). Multiplication can be transformed into difference of squares using the rule: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}. Square 1.

-\left(2^{2}x^{2}-1\right)-1

Expand \left(2x\right)^{2}.

-\left(4x^{2}-1\right)-1

Calculate 2 to the power of 2 and get 4.

-4x^{2}+1-1

To find the opposite of 4x^{2}-1, find the opposite of each term.

-4x^{2}

Subtract 1 from 1 to get 0.