Chapter 11.4, Problem 38CCR

To determine

To factor the given expression.

Answer to Problem 38CCR

  $10(3x+4)$

Explanation of Solution

Given:

Expression: $30x+40$

Calculation:

The given expression has two terms, $30x$ and $40$ .

On factorizing $30x$ : $3\times 5\times 2\times x$

On factorizing $40$ : $2\times 2\times 2\times 5$

Now both the terms have common factor $2\times 5$ ,

  $\Rightarrow 30x+40=2\times 5(3x+4)$

  $\Rightarrow 10(3x+4)$

Conclusion:

Therefore, factorization of $30x+40$ gives $10(3x+4).$