(1g2)^3+(1g5)^3+31g2*1g5=?

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(1g2)^3+(1g5)^3+31g2*1g5=?

(1g2)^3+(1g5)^3+31g2*1g5=?
(1g2)^3+(1g5)^3+31g2*1g5=?

(1g2)^3+(1g5)^3+31g2*1g5=?
(1g2)^3+(1g5)^3+31g2*1g5
=(lg2+lg5)[(lg2)^2+(lg5)^2-lg2lg5]+31g2*1g5
=[(lg2)^2+(lg5)^2-lg2lg5]+31g2*1g5
=[(lg2)^2+(lg5)^2+2lg2lg5]
=(lg2+lg5)^2
=1

(1g2)^3+(1g5)^3+31g2*1g5
=(lg2+lg5)[(1g2)^2+(1g5)^2-1g2*1g5]+31g2*1g5
=[(1g2)^2+(1g5)^2-1g2*1g5]+31g2*1g5
=(1g2)^2+(1g5)^2+21g2*1g5
=(lg2+lg5)^2
=1^2
=1