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Formula use:
\left(a+b\right)^3=a^3+b^3+3.a.b.\left(a+b\right)
Here, given expression is :
8x^3+{12x}^2+6x+1
Now, Simplify the expression :
8x^3+{12x}^2+6x+1
\rightarrow\left(2x\right)^3+\left(3\times2x\times2x\times1\right)+\left(3\times2x\times1\times1\right)+\left(1\right)^3
Let,
a=2x
b=1
So,
a^3+b^3+3.a.b.\left(a+b\right)
\rightarrow\left(a+b\right)^3
\therefore\left(2x+1\right)^3
Ans: \left(2x+1\right)^3\ .
