Question

Kindly factorise the expression and divide as direct as given in the picture with steps​

Answer 1

Answer:

$\frac{12pq(4 {p}^{2} - 25 {q}^{2}) }{2pq(2p + 5q)} \\ = 6 \times \frac{(2p) {}^{2} - {(5q)}^{2} }{2p + 5q} \\ = 6 \times \frac{(2p - 5q)(2p + 5q)}{(2p + 5q)} \\ = 6 \times (2p - 5q) \\ = 12p - 30q$