## Rose earned a gross pay of \$426 last week. From her gross pay, the following deductions were subtracted: federal income tax of \$48, social security taxes of 6.2%, Medicare taxes of 1.45%, health insurance premiums of \$45.80, and union dues of \$12.56. What was Rose’s net pay

1. We are asked to simplify the expression :

2. First thing we can do is to flip the second expression, so make the division a multiplication, and also factorize 3 in the numerator and 12 in the denominator of the second expression as follows:

3. Now factorize each of the quadratric expressions using the following rule:

when we want to factorize , we look for 2 numbers m and n, whose sum is a, and product is b:
for example: in , the 2 numbers we are looking for are clearly -5 and 4, because (-5)+4=-1, (-5)*4=-20, so we write the factorized form (x-5)(x+4)

Now apply the rule to the whole expression:

4. Simplify equal terms in the numerator and denominator:

we get:

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