moonatakshat75 moonatakshat75

20-01-2024
Mathematics

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Factorise the following algebric expression using suitable identity

25/16 a^2 - ab + 4/25b^2

Respuesta :

andyzhuangzixian andyzhuangzixian

20-01-2024

Answer: [(5/4)a - (2/5)b]^2

Step-by-step explanation:

(25/16)a^2 - ab + (4/25)b^2

a^2 - 2ab + b^2 = (a - b)^2

(25/16)a^2 - ab + (4/25)b^2 = [(5/4)a]^2 - 2(5/4)a(b) + [(2/5)b]^2

[(5/4)a - (2/5)b]^2

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