In the binomial expansion (2x + 3)^5 , there are 6 terms.
According to the question, given that
Binomial expansion (2x + 3)^5
Number of terms in a binomial expansion of (x + y)^n is
N = n + 1 words in total
In the binomial expansion (2x + 3)^5
n = 5
N = 5 + 1 = 6
Therefore, In Binomial expansion (2x + 3)^5 there are 6 terms.
The algebraic expression (x + y)n can be expanded according to the binomial theorem, which represents it as a sum of terms using separate exponents of the variables x and y. Each word in a binomial expansion has a coefficient, which is a numerical value.
The formula for expanding the exponential power of a binomial expression is provided by the binomial theorem, sometimes referred to as the binomial expansion. The following is the binomial expansion of (x + y)n using the binomial theorem:

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Step-by-step explanation:
it would be 9+4=13+4=17 answer $17

so hmm the idea behind the elimination, is to make the value atop or below, of either variable, the same but with a negative sign
so hmmm say... we'll eliminate "y"
so... let's see, we have 2y and 5y, both positive
what do we multiply 2y to get a negative -5y, that way, -5y +5y = 0 and poof it goes
well let's see, let's try "k"

so.. if we multiply 2y by -5/2, we'll end up with -5y
well, let's multiply that first equation then by -5/2

so.. now we know x = 1.... so let's plug that in say hmmm 2nd equation
Answer:
- Length is <u>20 cm</u>
- Breadth is <u>10 cm</u>
Step-by-step explanation:
<h3>According to the Question</h3>
It is given that,
- Length of rectangle is twice as its breadth
- Perimeter of Rectangle = 60cm
We have to calculate the length and
breadth of the rectangle.
Let the breadth be x cm.
then,
Length be 2x cm.
Calculating the length and breadth-
- Perimeter of Rectangle = 2(Length+breadth)
By putting the value we get-
→60 = 2(2x+x)
→60 = 2(3x)
→60 = 6x
→x = 60/6
→ x = 10 cm
Since, breadth is <u>10</u> cm.
Therefore, Length = 2x = 2×10 = 20 cm.
- Hence, the length and breadth of rectangle is 20 cm & 10 cm respectively.