Question

Factor this expression completely and then place the factors in the proper location on the grid. Note: Place factors alphabetically in the grid! ab + 4 + a + 4b

Answer 1

The required form of the given expression is : (a + 4)(b + 1)

Explanation:

The given expression is : ab + 4 + a + 4b

We need to factor he given expression and arrange the factors in the alphabetic order.

To find the factors of the given expression, we need to use the concept of algebra :

ab + 4 + a+ 4b

First rearranging the terms in order to form the factors :

= ab + 4b + 4 + a

= b(a + 4) + 1(4 + a)

= b(a + 4) + 1(a + 4)

= (b + 1)(a + 4)

Now, the factors in the alphabetic order :

= (a + 4)(b + 1)

Hence, the required form of the given expression is : (a + 4)(b + 1)

Answer 2

This is the concept of algebra, to factor the expression we proceed as follows;
ab+4+a+4b
this can be written as:
ab+a+4+4b
factoring this we get:
a(b+1)+4(1+b)
=(a+4)(b+1)
the answer is (a+4)(b+1)