Question

Evaluate : (3p-1)(3p+ 1)(9p^2+1)​

Answer 1

(3p-1)(3p+1)(9p²+1)

(3p-1)(27p³+3p+9p²+1)

81p⁴+9p²+27p³+3p-27p³-3p-9p²-1

81p⁴-1

Answer 2

$(3p - 1)(3p + 1)(9p {}^{2} + 1)$

by using formula (a+b)(a-b)=a^2-b^2

$((3p) {}^{2} - 1 {}^{2} )(9p {}^{2} + 1)$

$(9p {}^{2} - 1)(9p {}^{2} + 1)$

now again we will use that formula

$((9p {}^{2}) {}^{2} - 1 {}^{2} )$

$81p {}^{4} - 1$