Answer :
Answer:
5(3p + 5q)(3p - 5q)
Step-by-step explanation:
[tex]45 {p}^{2} - 125 {q}^{2} \\ \\ = 5(9 {p}^{2} - 25 {q}^{2} ) \\ \\ = 5 \{ {(3p)}^{2} - {(5q)}^{2} \} \\ \\ = 5(3p + 5q)(3p - 5q)[/tex]
Answer:
5(3p + 5q)(3p - 5q)
Step-by-step explanation:
[tex]45 {p}^{2} - 125 {q}^{2} \\ \\ = 5(9 {p}^{2} - 25 {q}^{2} ) \\ \\ = 5 \{ {(3p)}^{2} - {(5q)}^{2} \} \\ \\ = 5(3p + 5q)(3p - 5q)[/tex]