Using suitable identity, expand (5/4x+3/4)³
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Step-by-step explanation:
using identity, (a+b)^3=a^3+b^3+3ab(a+b)
in this question, a=5/4. b=3/4
putting values in identity,
=(5/4)^3 + (3/4)^3 + 3×5/4×3/4 (5/4+3/4)
=125/64 + 27/64 + 45/16 (15/16)
=152/64 + 675/256
taking lcm,
=608/256 + 675/ 256
=1283/256. ans
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