Scelta multipla
Square each binomial.
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6. Exponents, Polynomials, and Polynomial Functions
Special Products
Scelta multipla
Multiply the binomials.
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Identify the binomials to multiply: \((x^2 - 1)\) and \((x^2 + 1)\).
Apply the distributive property (also known as FOIL for binomials) to multiply each term in the first binomial by each term in the second binomial: multiply \(x^2\) by \(x^2\), then \(x^2\) by \(1\), then \(-1\) by \(x^2\), and finally \(-1\) by \(1\).
Write out the products explicitly: \(x^2 \times x^2\), \(x^2 \times 1\), \(-1 \times x^2\), and \(-1 \times 1\).
Simplify each product: \(x^2 \times x^2 = x^{4}\), \(x^2 \times 1 = x^{2}\), \(-1 \times x^2 = -x^{2}\), and \(-1 \times 1 = -1\).
Combine like terms: \(x^{4} + x^{2} - x^{2} - 1\), then simplify by canceling \(x^{2}\) and \(-x^{2}\) to get the final expression.
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