Math, asked by maxdamor, 1 year ago

factorize 9p^2/q^2+16r^2/m^2+ 24pr/qm​

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Answered by Anonymous
37

Answer :-

(3p/q + 4r/m)(3p/q + 4r/m)

Explanation :-

(9p²/q² ) + (16r²/m²) + (24pr/qm)

= (3p)²/q² + (4r)²/m² + (24pr/qm)

= (3p/q)² + (4r/m)² + (24pr/qm)

Now we have first two terms in the for of a² + b²

Here a = 3p/q and b = 4r/m

Now we need two write the 3rd term as 2ab two write its fators

= (3p/q)² + (4r/m) + 2(3p/q)(4r/m)

= (3p/q + 4r/m)²

[ ∵ a² + b² + 2ab = (a + b)² ]

= (3p/q + 4r/m)(3p/q + 4r/m) [Answer]

Answered by souravrajak2020
19

Answer:

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