Answer : and
Greatest common factor of
If we are able to factor out from each option then that would be our answer.
Lets check with each options
(a), we cannot take out 5.
(b), We can take out common factor and it can be written as
(c) , we cannot take out n^2 because we have only 'n'
(d) , We can take out common factor and it can be written as
(e) , we cannot take out 5 because we have 24
So answer is (b) and (d)
The answer is:
The second and the third terms from the choices:5m⁴n³, and10m⁴n¹⁵
The greatest common factor of a set of numbers is found by:
1) Write each number as a product of prime factors, each factor raised to the corresponding exponent (power);
2) Choose only the common prime factors, with the least exponent.
Example: find the greatest common factor of 35x²y³ and 15xy²Prime factorization: 35x²y³ = 5¹ . 7¹ . x² . y³
15xy² = 3¹ . 5¹ . x¹ . y²Common factors (each raised to its least exponent): 5¹, x¹, and y²Greatest common factor (make the product): 5 . x . y² = 5xy²
Now apply the process to the given terms:m⁵n⁵ : these are prime factors5m⁴n³: these are prime factors10m⁴n¹⁵: prime factors = 2 . 5 . m⁴ n¹⁵
.m²n²: these are prime factors24m³n⁴: prime factors = 2³ . 3 . m³ n⁴
The terms that could have a greatest common factor of 5m²n², are those that include 5m²n², and those are:5m⁴n³, and2 . 5 . m⁴ n¹⁵ = 10m⁴n¹⁵
These are the second and the third terms from the choices.
The correct options are .
Desired factors = = 5 × m × m × n × n
Factors of given option are:
= m × m × m × m × m × n × n × n × n × n
= 5 × m × m × m × m × n × n × n
= 2 × 5 × m × m × m × m × n
= 3 × 5 × m × m × n × n
= 2 × 2 × 2 × 3 × m × m × m × n × n × n × n
Hence,the correct options are .
. your answer will contain x - and y -terms. (1 point) x ( ¿¿ 2 − 7 ) 2 +( y 2 − 9 ) 2 √ ¿ 12. what is the distance from the directrix (the crocodile river) to the point ( x , y )? write this equation. your answer will contain a y -term.