Exercise
$\left(x^2-x\right)\left(x^2+x\right)-\left(x^2-1\right)^2$
Step-by-step Solution
Learn how to solve special products problems step by step online. Expand the expression (x^2-x)(x^2+x)-(x^2-1)^2. 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.. Simplify \left(x^2\right)^2 using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 2 and n equals 2. Expand \left(x^2-1\right)^2. Simplify the product -(x^{4}-2x^2+1).
Expand the expression (x^2-x)(x^2+x)-(x^2-1)^2
Final answer to the exercise
$x^2-1$