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Properties of Determinants

Find a+b4-a-b...

Question

Find (a + b)⁴ – (a – b)⁴. Hence, evaluate.

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Solution

Using Binomial Theorem, the expressions, (a + b)⁴ and (a – b)⁴, can be expanded as

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Similar questions

(a + b)^{4} - (a - b)^{4}

. Hence, evaluate

(\sqrt{3} + \sqrt{2})^{4} - (\sqrt{3} - \sqrt{2})^{4}

{(a + b)}^{4} - {(a - b)}^{4}

. Hence, evaluate

{(\sqrt{3} + \sqrt{2})}^{4} - {(\sqrt{3} - \sqrt{2})}^{4}

(a + b)^{4} - (a - b)^{4}

s

(\sqrt{3} + \sqrt{2})^{4} - (\sqrt{3} - \sqrt{2})^{4} = 40 \sqrt{s}

{(a + b)}^{4} + {(a - b)}^{4}

{(\sqrt{3} + \sqrt{2})}^{4} + {(\sqrt{3} - \sqrt{2})}^{4}

using binomial theorem

(a - b)^{4} + (a + b)^{4}

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Properties of Determinants

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