Question

4p^2q^2-36r^2 factorise it

Answer 1

4p^2q^2-36r^2
(a^2-b^2)=(a+b)(a-b)
=(4pq+36r)(4pq-36r)
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Answer 2

Given Equation is 4p^2q^2 - 36r^2

It can be written as,

⇒ (2pq)^2 - (6r)^2

We know that a^2 - b^2 = (a + b)(a - b). Here, a = 2pq, b = 6r.

⇒ (2pq + 6r)(2pq - 6r).

⇒ 2(pq + 3r) * 2(pq - 3r)

⇒ 4(pq + 3r)(pq - 3r)

Hope it helps!