Question 1
expand (x - 2)6.
x6 + 12x5 + 60x4 + 160x3 + 240x2 + 192x + 64
x6 - 12x5 - 60x4 - 160x3 - 240x2 - 192x - 64
x6 - 12x5 + 60x4 - 160x3 + 240x2 - 192x + 64
x6 - 12x5 + 60x4 - 160x3 + 240x2 - 160x + 64
2 points
question 2
expand (x + 2y)4.
x4 - 8x3y + 24x2y2 - 32xy3 + 16y4
x4 + 8x3y + 24x2y2 + 32xy3 + 16y4
x4 + 8x3y + 28x2y2 + 32xy3 + 16y4
x4 + 8x3y + 24x2y2 + 34xy3 + 16y4
2 points
question 3
how many terms are in the expansion (a + b)20.
19
20
21
22
2 points
question 4
expand (x - y)4.
x4 - 5x3y + 6x2y2 - 5xy3 + y4
x4 - 4x3y + 8x2y2 - 4xy3 + y4
x4 - 4x3y + 6x2y2 - 4xy3 + y4
x4 - 4x3y + 6x2y2 - 4xy3 - y4
2 points
question 5
expand (5a + b)5.
295a5 + 3125a4b + 1250a3b2 + 250a2b3 + 25ab4 + b5
3125a5 + 3125a4b + 1250a3b2 + 250a2b3 + 25ab4 + b5
3125a5 - 3125a4b + 1250a3b2 - 250a2b3 + 25ab4 - b5
3125a5 + 3125a4b + 1250a3b2 + 250a2b3 + 25ab4 + 10b5
2 points
question 6
expand (x + 2y)5.
x5 + 10x4y + 40x3y2 + 80x2y3 + 80xy4 + 32y5
x5 - 10x4y + 40x3y2 - 80x2y3 + 80xy4 - 32y5
x5 - 10x4y + 40x3y2 - 80x2y3 + 80xy4 - 32y5
x5 - 10x4y + 40x3y2 - 80x2y3 + 80xy4 - 32y5
2 points
question 7
what is the sixth term of (a - y)7?
21a3y4
-21a3y4
21a2y5
-21a2y5
2 points
question 8
what is the 6th term of (2x - 3y)11?
7,187,024x6y5
-7,185,024x6y5
7,185,024x6y5
-7,187,024x6y5
2 points
question 9
what is the sixth term of (x + y)8?
56x3y5
36x3y5
36x4y4
56x4y4
2 points
question 10
what is the seventh terms of (x + 4)8?
114,688x2
114,688x3
114,688x4
114,688x5

QUESTION 1

We want to expand .

We apply the binomial theorem which is given by the  formula

.

By comparison,

.

We substitute all these values to obtain,

.

We now simplify to obtain,

.

This gives,

.

Ans:C

QUESTION 2

We want to expand

.

We apply the binomial theorem to obtain,

.

We simplify to get,

.

We simplify further to obtain,

Ans:B

QUESTION 3

We want to find the number of terms in the binomial expansion,

.

In the above expression, .

The number of terms in a binomial expression is .

Therefore there are 21 terms in the binomial expansion.

Ans:C

QUESTION 4

We want to expand

.

We apply the binomial theorem to obtain,

.

We simplify to get,

.

We simplify further to obtain,

Ans: C

QUESTION 5

We want to expand

We apply the binomial theorem to obtain,

.

We simplify to obtain,

.

This finally gives us,

.

Ans:B

QUESTION 6

We want to expand .

We apply the binomial theorem to obtain,

.

We simplify to get,

.

This will give us,

.

Ans:A

QUESTION 7

We want to find the 6th term  of .

The nth term is given by the formula,

.

Where

We substitute to obtain,

.

.

Ans:D

QUESTION 8.

We want to find the 6th term of

The nth term is given by the formula,

.

Where

We substitute to obtain,

.

.

Ans:D

QUESTION 9

We want to find the 6th term  of .

The nth term is given by the formula,

.

Where

We substitute to obtain,

.

.

Ans: A

We want to find the 7th term  of .

The nth term is given by the formula,

.

Where

We substitute to obtain,

.

.

Ans:A

1.3

step-by-step explanation:

3x2=6   9x+6

bring down the 6 on both sides

6+6=12

12= 9x

divide by 9

12/9 =

1.3 =x

think the answer is 30 degrees. if not than it is 20 degrees. not 100% sure. let me know if it was right.

gill russ