30. 4a2 + 4a + 1
How do I solve this?

(2a-1)^2

Step-by-step explanation:

Rewrite 4a^2 as (2a)^2

.

(2a)^2−4a+1

Rewrite 1

as 12

.

(2a)^2−4a+1^2

Check the middle term by multiplying 2ab

and compare this result with the middle term in the original expression.

2ab=2⋅(2a)⋅−1

Simplify.

2ab=−4a

Factor using the perfect square trinomial rule a^2−2ab+b^2=(a−b)^2

, where a=2a and b=−1

.

(2a−1)2

please

question 1 is 8, question 2 is 9, question 3 is 24

step-by-step explanation:

now, the numbers they give you at the top are the key. from there, you just have to plug and chug! let's try 1, 2, and 3!

key: a=3, b=5, c=6

1. a+5

remember, a=3, so we plug that in to get 3+5=8

2. 15-c

c=6, so we plug that in to get 15-6=9

3. 4b

b=6, so we plug it in to get 4*6=24

time to try the rest on your own! if you put the answers below in a comment, i'll check them for you!

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.