{x}^(4) - 16 = What is the answer and steps

Gabriellanata asked Oct 22, 2022

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31 votes

${x}^(4) - 16 =$
What is the answer and steps

Gabriellanata asked Oct 22, 2022

2.5k points

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16 votes

Answer:

$(x - 2) * (x + 2) * ( {x}^(2) + 4)$

Explanation:

${x}^(4) - 16$

➡️
${x}^(2 * 2) - 16$

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${x}^(2 * 2) - {4}^(2)$

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$( {x}^(2) {)}^(2) - {4}^(2)$

➡️
$( {x}^(2) - 4) * ( {x}^(2) + 4)$

➡️
$(x - 2) * (x + 2) * ( {x}^(2) + 4)$

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