Chapter 11.4, Problem 36CCR

To determine

To factor the given expression.

Answer to Problem 36CCR

  $8\left(5+x\right)$

Explanation of Solution

Given:

Expression: $40+8x$

Calculation:

The given expression has two terms, $40$ and $8x$ .

On factorizing $40$ : $2\times 4\times 5$

On factorizing $8x$ : $2\times 4\times x$

Now both the terms have a common factor $2\times 4$ ,

  $\Rightarrow 40+8x=2\times 4(x+5)$

  $\Rightarrow 8(x+5)$

Conclusion:

Therefore, factorization of $40+8x$ gives $8(5+x)$ .