Chapter 11.4, Problem 40CCR

To determine

To factor the given expression.

Answer to Problem 40CCR

  $45(3x+4)$

Explanation of Solution

Given:

Expression: $135x+180$

Calculation:

The given expression has two terms, $135x$ and $180$ .

On factorizing $135x$ : $3\times 3\times 3\times 5\times x$

On factorizing $180$ : $2\times 2\times 3\times 3\times 5$

Now both the terms have a common factor $3\times 3\times 5$ ,

  $\Rightarrow 135x+180=3\times 3\times 5(3x+4)$

  $\Rightarrow 45(3x+4)$

Conclusion:

Therefore, the factorization of $135x+180$ gives $45(3x+4)$ .