Question

Using suitable identity, expand (5/4x+3/4)³

Answer 1

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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