The simplified form of the expression 6! − 3! when it is simplify using the properties of factorial is 3!((6x5x4) − 1).
<h3>
What is the simplified form of a term?</h3>
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).
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ANSWER
or
We have
Since we cannot factor easily, we complete the square.
Adding 2 to both sides give,
Dividing through by 3 gives
Adding
to both sides gives
The expression on the Left Hand side is a perfect square.
Splitting the plus or minus sign gives
or
Answer:
<h2>45, 46, 47</h2>
Step-by-step explanation:
n, n + 1, n + 2 - three consecutive integers
The equation:
138 - n = (n + 1) + (n + 2)
138 - n = n + 1 + n + 2 <em>combile like terms</em>
138 - n = 2n + 3 <em>subtract 138 from both sides</em>
-n = 2n - 135 <em>subtract 2n from both sides</em>
-3n = -135 <em>divide both sides by (-3)</em>
n = 45
n + 1 = 46
n + 2 = 47
Answer:
6x²y²
Step-by-step explanation:
6: 1 2 3 6
18: 1 2 3 6 9 18
36: 1 2 3 4 6 9 12 18 36
the common factor for 6 18 and 36 are
1 2 3 6
x² = x × x
y³ = y × y × y
x³ = x × x × x
y³ = y × y × y
x³ = x × x × x
y² = y × y
the common factor are for x and y are
x² y²
Multiply the GCF of the numerical part 6 and the GCF of the variable part x² y² to get 6x² y²
