Question

Which of the following options would be equal to $4x+16y$?

• A. $16(x+4y)$
• B. $4(x+16y)$
• C. $4(x+4y)$
• D. $16(x+y)$

Answer 1

The correct option is C $4(x+4y)$

$\underset{–}{Concept}$:
If an expression is of the form $abx+acy$, then we can take out 'a' as a common factor and the expression can be rewritten as $a(bx+cy)$.

$\underset{–}{Method}$:
We are having $4x+16y$ as the expression.

Taking 4 out as a common factor, we get
$4(x+4y)$ as the required expression.