Question

Write the following as square of binomials 9m^4 - 30m^2 n + 25n^2​

Answer 1

Answer:

Namaste mate! Here is your answer.

$9 {m}^{4} - 30 {m}^{2} n + 25 {n}^{2} \\ = {(3m ^{2} )}^{2} - 2 \times {3m}^{2} \times 5n + {(5n)}^{2} \\using \: \: algebraic \: \: identity \\ {(a)}^{2} - 2ab + {(b)}^{2} = {(a - b)}^{2} \\ = {( {3m}^{2} - 5n)}^{2}$