Question

simplify this by using suitable identities p⁴-81​

Answer 1

Answer:

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Step-by-step explanation:

$we \: have \: {p}^{4} - 81 \: \\ = ({p}^{2} )^{2} - ({9}^{2})^{2} \\ now \: using \: {a}^{2} \: - {b}^{2} = (a + b)(a - b) \\ we \: have = ({p}^{2})^{2} - {9}^{2} = ( {p}^{2} + 9 )( {p}^{2} - 9) \\ {p}^{2} - 9 = ( {p}^{2} + 3)( {p}^{2} - 3) \: \\ {p}^{4} - 81 = ( {p}^{2} + 3)( {p}^{2} - 3)$