Algebra II : Factorials

Example Questions

Example Question #39 : Multiplying And Dividing Factorials

Divide the factorials.

Explanation:

Expand each factorial.

Cancel out the common terms on the numerator and denominator.

The remain terms are:

Example Question #40 : Multiplying And Dividing Factorials

Divide the fractions:

Explanation:

In order to divide these fractions, we will need to take the reciprocal of the second term and change the sign to a multiplication.

Write each non-prime term in factors.

Reduce the terms by cancelling the common factors in the numerator and denominator.

Example Question #41 : Factorials

Multiply the factorials:

Explanation:

Identify the values of each factorial.  Zero factorial is a special case.

Multiply all three numbers.

Example Question #42 : Factorials

Simplify the factorials:

Explanation:

Simplify the numerator.  Do not distribute the five through the terms inside the parentheses, or it will change the value of the factorial!

Simplify the denominator.

Divide the numerator with the denominator.

Example Question #43 : Factorials

Simplify:

Explanation:

Simplify the terms in side the parentheses first.  Do NOT distribute the four through the binomial or this will change the value of the factorial!

Notice the there are common terms in the numerator and denominator.  Cancel out the terms.  The remaining parts are:

Example Question #44 : Factorials

Multiply:

Explanation:

Simplify all the factorials first.

Substitute each term.

Simplify by order of operations.

Example Question #45 : Factorials

Divide the factorials:

Explanation:

Expand the factorials first.  Do not distribute the integers inside the parentheses or this will change the value of the factorial.

Cross out the common terms in the numerator and denominator.

Example Question #46 : Factorials

Multiply the factorials:

Explanation:

Zero factorial is a special case.  It is equal to one.

Expand the other factorials.

Simplify this expression.

Example Question #47 : Factorials

Divide the factorials:

Explanation:

The value of zero factorial is equal to one.  This is the special case.

Simplify the expression.

Write out the terms in the denominator.

Example Question #48 : Factorials

Divide the factorials: