Solve the equation $\left(x+1\right)\left(x-1\right)\left(x^2+1\right)\left(x^4+1\right)+1=x^8$

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Final answer to the problem

true

Step-by-step Solution

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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: $(a+b)(a-b)=a^2-b^2$.

$\left(x^2-1\right)\left(x^2+1\right)\left(x^4+1\right)+1=x^8$

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$\left(x^2-1\right)\left(x^2+1\right)\left(x^4+1\right)+1=x^8$

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Learn how to solve equations problems step by step online. Solve the equation (x+1)(x-1)(x^2+1)(x^4+1)+1=x^8. 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.. 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. 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..

Final answer to the problem

true

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Main Topic: Equations

In mathematics, an equation is a statement of an equality containing one or more variables. Solving the equation consists of determining which values of the variables make the equality true. In this situation, variables are also known as unknowns and the values which satisfy the equality are known as solutions.

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