Chapter 4, Problem 9CR

To determine

To factor the monomial $36a^4{b}^3$

Answer to Problem 9CR

  $2\times 3\times 2\times a\times a\times a\times a\times b\times b\times b$

Explanation of Solution

Given information:

Expression $36a^4{b}^3$

Calculation:

To factor an expression, simply break it down into its smallest constituents. So, here,

36 may be written as $2\times 3\times 2\times 3$

  $a^4$ may be written as $a\times a\times a\times a$

  $b^3$ may be written as $b\times b\times b$

So the entire monomial will be written as-

  $36a^4{b}^3=2\times 3\times 2\times 3\times a\times a\times a\times a\times b\times b\times b$

Conclusion-

  $=2\times 3\times 2\times 3\times a\times a\times a\times a\times b\times b\times b$