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Y_Kistochka [10]

3 years ago

14

Simplify the expression

2 answers:

Inga [223]3 years ago

4 0

36+18x
18x=-36
x=-2

coefficient of x is -2

iren2701 [21]3 years ago

4 0

The coefficient is 18
The constant is 35

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Please check the explanation!

Step-by-step explanation:

Given the polynomial

$\left(x+y\right)^5$

$\mathrm{Apply\:binomial\:theorem}:\quad \left(a+b\right)^n=\sum _{i=0}^n\binom{n}{i}a^{\left(n-i\right)}b^i$

$a=x,\:\:b=y$

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so expanding summation

$=\frac{5!}{0!\left(5-0\right)!}x^5y^0+\frac{5!}{1!\left(5-1\right)!}x^4y^1+\frac{5!}{2!\left(5-2\right)!}x^3y^2+\frac{5!}{3!\left(5-3\right)!}x^2y^3+\frac{5!}{4!\left(5-4\right)!}x^1y^4+\frac{5!}{5!\left(5-5\right)!}x^0y^5$

solving

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also solving

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$=\frac{5x^4y}{1}$

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similarly, the result of the remaining terms can be solved such as

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