Question

PLEASE HELP MEEE! Simplify 6! − 3!

6!(1 − 2!)
3!((6x5x4) − 1)
3!(2! − 1)
6!(1 − 0.5!)

Answer 1

The simplified form of the expression 6! − 3! when it is simplify using the properties of factorial is 3!((6x5x4) − 1).

What is the simplified form of a term?

Simplified form of a term is the simplest way of expression the term, which is obtained  by applying the required operations of mathematics.

Factorial is the way to write the product of the numbers from its phase value to 1 in decreasing order. Suppose, the number is 3!. Then it can be written as,

3!=3×2×1

The expression which has to be simplified is,

6! - 3!

It can be written as,

6! - 3!

(6×5×4×3!)-3!

3!((6×5×4)-1)

Thus, the simplified form of the expression 6! − 3! when it is simplify using the properties of factorial is 3!((6x5x4) − 1).

Learn more about the simplified form here;

https://brainly.com/question/1597694

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Answer 2

$\huge\text{Hey there!}$

$\mathsf{6! - 3!}\\\mathsf{\approx 6(5)(4)(3)(2)(1) - 3(2)(1)}\\\mathsf{\approx 30(4)(3)(2)(1)- 6(1)}\\\mathsf{\approx 120(3)(2)(1) - 6}\\\mathsf{\approx 360(2)(1) - 6}\\\mathsf{\approx 720(1) - 6}\\\mathsf{\approx 720 - 6}\\\mathsf{\approx 714}\\\mathsf{\approx 3!((6\times5\times4) - 1)}$

$\huge\text{Answer: \boxed{\mathsf{3!((6\times5\times4) - 1)}}}\huge\checkmark$

$\huge\text{Good luck on your assignment \& enjoy your day!}$

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