Find the common factors of the following terms. (a) 25x2y, 30xy2
Answers
Answer:
25x^{2}x2 yy = 5 * 5 * x * x *y
30xx y^{2}y2 = 5 * 6 * x * y * y
In these both the common no. and variables are- 5 x y
ANS: COMMON FACTOR IS 5xy
Step-by-step explanation:
answer is 5xy
Answer:
The common factors of 25x^2y and 30xy^2 are 5xy
Step-by-step explanation:
To find the common factors of two terms, we need to find the prime factors that are present in both terms and multiply them. Here's a step-by-step explanation of how to find the common factors of 25x^2y and 30xy^2:
Prime factorize each term:25x^2y = 5^2 * x^2 * y
30xy^2 = 2 * 3 * 5 * x * y^2
Identify the prime factors that are present in both terms:5 and xy are the prime factors present in both terms.
- Multiply the common prime factors:
5xy is the result of multiplying the common prime factors of 5 and xy.
- Therefore, 5xy is the common factor of 25x^2y and 30xy^2.
- Common factors are the factors that two or more numbers have in common. In other words, they are the factors that can divide each of the numbers exactly without any remainder. The common factors can be used to find the greatest common factor (GCF) of the numbers, which is the largest factor that both numbers have in common. For example, the common factors of 12 and 16 are 1, 2, and 4, since these are the factors that can divide both numbers exactly. The GCF of 12 and 16 is 4, which is the largest of the common factors.
To learn more about common factors from the link below
https://brainly.in/question/2535896
To learn more about prime factors from the link below
https://brainly.in/question/6819403
#SPJ3