Question

Factorize completely
80p2 - 180r2​

Answer 1

20(2p - 3r)(2p + 3r)

Explanation:

Given

80p² - 180r² ← factor out 20 from each term

= 20(4p² - 9r²) ← difference of squares which factors in general as

a² - b² = (a - b)(a + b)

4p² - 9r²

= (2p)² - (3r)² ← with a = 2p and b = 3r

= (2p - 3r)(2p + 3r)

Thus

80p² - 180r² = 20(2p - 3r)(2p + 3r) ← in factored form

Answer 2

80p2 - 180r2

20(4p²-9r²)

20(2p+3r)(2p-3r)