Question

Solve by using identities 81p2-225q2

Answer 1

$\textbf{\huge{\underline{ Hello Mate! }}}$

Here we go,

${x}^{2} - {y}^{2} = (x + y)(x - y) \\ \\ = 81 {p}^{2} - 225 {q}^{2} \\ \\ {(9p)}^{2} - {(15q)}^{2} = (9p - 15q)(9p + 15q)$

Hence we get factorised form i.e product form, since to get factors there must be factors in product or devision

$\textsf{\red{ Hence answer is (9p+15q)(9p-15q) }}$

$\textsf{\blue{ Thanks for question! }}$

$\textbf{ Have great future ahead! }$