If x^2 + 1/4x^2 = 15, find the value of x^3+1/8x^3
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x^2+(1/4)x^2=15
x^2(1+1/4)=15
5/4x^2=15
x^2=15×4/5=3×4=12
x=(12)^1/2
x=2×3^1/2
x^3+1/8x^3
=x^3(1+1/8)
=9/8x^3
=9/8×(2×3^1/2)^3
=9/8×8×3^(1/2×3)
=9×27^1/2
=9×3×3^1/2
=27×3^1/2
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