How do you factor $a b + 4 + a + 4 b$ $ab + 4 + a + 4b$ ?

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How do you factor $a b + 4 + a + 4 b$ $ab + 4 + a + 4b$ ?

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Answer 1 · 2018-03-16T11:14:36

Group it together
$a b + a + 4 + 4 b$ $ab+a+4+4b$
As you must have noticed by now..... it is the only way
$a b + a = a (b + 1)$ $ab+a=a(b+1)$
$4 + 4 b = 4 (b + 1)$ $4+4b=4(b+1)$
Put them together
$a (b + 1) + 4 (b + 1)$ $a(b+1)+4(b+1)$
$(a + 4) (b + 1)$ $(a+4)(b+1)$

Answer 2 · 2018-03-16T11:36:41

$(a + 4) (b + 1)$ $(a+4)(b+1)$

Explanation:

$a b + 4 + a + 4 b$ $ab+4+a+4b$

$\Rightarrow a b + a + 4 b + 4$ $=> ab+a+4b+4$

$\Rightarrow a (b + 1) + 4 (b + 1)$ $=> a(b+1)+4(b+1)$

$\Rightarrow (a + 4) (b + 1)$ $=> (a+4)(b+1)$

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How do you factor $a b + 4 + a + 4 b$ $ab + 4 + a + 4b$ ?

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