Question

Divide the algebraic expressions by using factorization method:
(i) 25pq(25p^2 - 4q^2) ÷5p(5p-2q)
(ii) 42n^2(32-98n^2) ÷98n^2(7n+4)​

Answer 1

Answer:

I)

25pq(25p^2-4q^2)÷5p(5p-2q)

=5q{(5p)^2-(2q)^2}÷(5p-2q)

=5q(5p+2q)(5p-2q)÷(5p-2q)

=5q(5p+2q)

ii) 42n^2(32-98n^2)÷98n^2(7n+4)

=42 n^2.2(16-49n^2)÷98n^2(7n+4)

=84{(4)^2-(7n)^2}÷98(7n+4)

=6(4+7n)(4-7n)÷7(4+7n)

=6(4-7n)/7