Number of factors of ( a + b ) ^ 2
Answers
Answer: Therefore, has two factors, namely, (a+b) and (a+b).
Step-by-step explanation:
Given:
The algebraic expression (a+b)^{2}(a+b)
2
.
To Find:
The number of factors of the given expression.
Solution:
Let's first understand what is a factor.
A factor is a number/expression that divides the given number/expression completely, leaving zero as remainder.
OR When we multiply two expressions/numbers to obtain a number/expression, the number so used are called the factors.
So, when we talk about factors of (a+b)^{2}(a+b)
2
, we have to find the expression that divides it completely, or the expressions which can be multiplied to give this as result.
Now, (a+b)^{2} = (a+b)(a+b)(a+b)
2
=(a+b)(a+b)
Therefore, (a+b)^{2}(a+b)
2
has two factors, namely, (a+b) and (a+b).