Question
Evaluate the following: $46^3 + 34^3$
✓
Answer
Given, $46^3+34^3$
The above equation can be written as
$(40+6)^3+(40-6)^3$
We know that, $(a+b)^3+(a-b)^3=2\left[a^3+3 a b^2\right]$
here, $a=40, b=4(40+6)^3+(40-6)^3=2\left[40^3+3(6)^2(40)\right]$
$=2[64000+4320]=2[68320]=1366340$
The value of $46^3+34^3=1366340$
The above equation can be written as
$(40+6)^3+(40-6)^3$
We know that, $(a+b)^3+(a-b)^3=2\left[a^3+3 a b^2\right]$
here, $a=40, b=4(40+6)^3+(40-6)^3=2\left[40^3+3(6)^2(40)\right]$
$=2[64000+4320]=2[68320]=1366340$
The value of $46^3+34^3=1366340$
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