Final answer to the problem
$x^{3}-x$
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Step-by-step Solution
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1
The sum of two terms multiplied by their difference is equal to the square of the first term minus the square of the second term. In other words: $(a+b)(a-b)=a^2-b^2$.
$\left(x^2-1\right)x+\left(x-2\right)^2-3$
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$\left(x^2-1\right)x+\left(x-2\right)^2-3$
Learn how to solve problems step by step online. Expand the expression (x-1)x(x+1)+(x-2)^2+-3. The sum of two terms multiplied by their difference is equal to the square of the first term minus the square of the second term. In other words: (a+b)(a-b)=a^2-b^2.. Expand \left(x-2\right)^2. Solve the product \left(x^2-1\right)x. When multiplying exponents with same base you can add the exponents: x\cdot x^2.
Final answer to the problem
$x^{3}-x$