Question

q) 25p² + 81q² - 90pq factorise it step by step ​

Answer 1

Answer:

(5p-9q) and (5p-9q)

Step-by-step explanation:

given:- 25p² + 81q² -90pq

therefore by arranging it in standard ax² + 1abxy + by² we get,

25p² - 90pq + 81q²

=25p²-45pq-45pq+81q²

=(25p²-45pq)-(45pq-81q²)

5p(5p-9q)-9q(5p-9q). (taking 5p and 9q common)

=(5p-9q)(5p-9q)

therefore it is a perfect square of 5p-9q