Question

what is the factories p⁴-81. ​

Answer 1

Answer:

value of p will be 3 or -3 ..

Answer 2

Answer:

$\huge\bf{Question :}$

${\bigstar}$ what is the factories p⁴-81.

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$\huge\bf{Answer :}$

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