Applying the binomial theorem: in this activity, you’ll find the expanded form of the binomial expression (x + y)^4 using the binomial theorem. answer the following questions to expand the binomial expression (x + y)^4 using the binomial theorem. part a: determine the first term of the binomial expansion (x+y)^4. part b: determine the second term of the binomial expansion (x + y)^4. part c: determine the third term of the binomial expansion (x + y)^4. part d: determine the fourth term of the binomial expansion (x + y)^4. part e: determine the fifth term of the binomial expansion (x + y)^4. part f: write your answer in standard form. using answers from parts a through e, enter the expanded form of the binomial expression (x + y)^4.

Step-by-step explanation:

We have to expand

we can use rth term formula of binomial theorem

we can see that

a=x

b=y

n=4

Part-A:

we can use formula

and we get

Part-B:

we can use formula

and we get

Part-C:

we can use formula

and we get

Part-D:

we can use formula

and we get

Part-E:

we can use formula

and we get

Part-F:

now, we can combine them

and we get

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).