Simplify the expression |ab| if a< 0 and b> 0

write the expression without the absolute value sign:

|2b|, where b< 0

write the expression without the absolute value sign:

|c|, where c< 0

Step-by-step explanation:

Given:

The expressions to simplify are:

1.

We know that, product of a negative number and a positive number is always negative.

Here, 'a' is less than 0 or a negative number. 'b' is greater than 0 or a positive number. The product of 'a' and 'b' is a number less than 0 or a negative number. Now, we need to find the absolute value of their product. The absolute value is never negative. So, in order to make the product positive, we multiply the product by -1 as product of two negative numbers is always positive.

Therefore,

2.

Here, also, 'b' is less than 0 or a negative number. Therefore, the number '2b' is a negative number So, in order to write this without the absolute value sign, we have to multiply '2b' by -1 to make the product always positive.

Therefore,

3.

This is also similar to the one above. Since 'c' is a negative number, we need to multiply it by -1 when we remove the absolute value sign.

Thus,

ab will be equal to

example 2 – simplify: step 1: completely factor both the numerators and denominators of all fractions. step 2: change the division sign to a multiplication sign and flip (or reciprocate) the fraction after the division sign; essential you need to multiply by the reciprocal. step 3 : cancel or reduce the fractions.