Complete the statement to describe the expression (a+b+c)(d+e+f)
1 answer:
Answer:
Please check the explanation.
Step-by-step explanation:
We know that if we multiply 3 and 4, we get 12.
In other words, 3 × 4 = 12
Thus, 3 and 4 are factors of 12.
now
Given the expression
The given expression consists of two factors which are:
- (a+b+c)
- (d+e+f)
We also know that an expression can consist of terms, a term may be a constant or a variable. It can be both as well.
For example, in the expression, 4b + 2, 4b and 2 are terms.
so,
- The factor (a+b+c) consists of 3 terms. These terms are a, b and c.
- Similarly, the factor (d+e+f) consists of 3 terms. These terms are d, e, and f.
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ANSWER
EXPLANATION
The given binomial expansion is:
Compare this to
we have a=2x , b=-3y and n=10
We want to find the coefficient of the term
This implies that, r=5.
The terms in the expansion can be obtained using
We substitute the given values to obtain;
Hence the coefficient is;