[2x + 3/x] [2x + 3/x] [2x + 3/x]
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You can write it as (2x+3/x)^3
take LCM →. [( 2x^2 +3)/x]^3
Simplify → [(2x^2+3)^3]/x^3
: : : (A+B)^3 = (A)^3 + (B)^3 + 3(A)^2B + 3A(B)^2
→ [(2x^2)^3 + (3)^3 + 3(2x^2)^2 (3) + 3(2x^2)(9)]/x^3
→→→[ 8x^6 + 27 + 36x^4 + 54x^2 ]/x^3 ←←←
↑Answer↑
take LCM →. [( 2x^2 +3)/x]^3
Simplify → [(2x^2+3)^3]/x^3
: : : (A+B)^3 = (A)^3 + (B)^3 + 3(A)^2B + 3A(B)^2
→ [(2x^2)^3 + (3)^3 + 3(2x^2)^2 (3) + 3(2x^2)(9)]/x^3
→→→[ 8x^6 + 27 + 36x^4 + 54x^2 ]/x^3 ←←←
↑Answer↑
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