Question 1172645
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            The post by  @ewatrrr contains  FATAL  ERRORS.


            I came to bring you the  CORRECT  SOLUTION.


<pre><font face = "consolas" color = "indigo" size = 4><b>
 
{{{(a+b)^3}}} = {{{a^3}}} + {{{3a^2b}}} + {{{3ab^2}}} + {{{b^3}}}

(x + 4)^3 = x^3 + (3)(4)x^2 + 3(16)x + 64

(x + 4)^3 = x^3 + 12x^2 + 48x + 64.
</font></b></pre>

Solved.



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In my young years, &nbsp;when I studied at the middle school, &nbsp;one of many requirements 

of our educational program in &nbsp;Math &nbsp;was to know such identities as the multiplication table.



&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;As &nbsp;&nbsp;2 x 2 = 4.



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Since you do not know these basic issues, look into the lessons



1. The <B>cube of the sum formula</B> is &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;{{{(a + b)^3 = a^3 + 3a^2*b + 3a*b^2 + b^3}}}.

&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;For details and examples of applications of this formula see the lesson <A HREF=http://www.algebra.com/algebra/homework/Polynomials-and-rational-expressions/The-cube-of-a-sum-formula.lesson>The cube of the sum formula</A>.



2. The <B>cube of the difference formula</B> is &nbsp;&nbsp;&nbsp;&nbsp;{{{(a - b)^3 = a^3 - 3a^2*b + 3a*b^2 - b^3}}}.

&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;For details and examples of applications of this formula see the lesson <A HREF=http://www.algebra.com/algebra/homework/Polynomials-and-rational-expressions/The-cube-of-a-difference.lesson>The cube of the difference formula</A>.



3. The <B>sum of cubes formula</B> is &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;{{{a^3 + b^3 = (a + b)*(a^2 - ab + b^2)}}}.

&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;For details and examples of applications of this formula see the lesson <A HREF=http://www.algebra.com/algebra/homework/Polynomials-and-rational-expressions/The-sum-of-cubes-formula.lesson>The sum of cubes formula</A>.



4. The <B>difference of cubes formula</B> is &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;{{{a^3 - b^3 = (a - b)*(a^2 + ab + b^2)}}}.

&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;For details and examples of applications of this formula see the lesson <A HREF=http://www.algebra.com/algebra/homework/Polynomials-and-rational-expressions/The-difference-of-cubes-formula.lesson>The difference of cubes formula</A>.



Learn the subject from there &nbsp;&nbsp;(as the multiplication table).