Question

The area of a square is (4a^2 − 20a + 25) square units.

Determine the length of each side of the square by factoring the area expression completely.

Answer 1

@AZ help :(

Answer 2

@snowflake0531 can u help me??

Answer 3

4a^2, which means that it'll be 2a and 2a in this instance, looking at b and c, in ax^2 +bx+c

So, we have
(2a- )(2a- )
do you understand why it's minus, not two plus's

Answer 4

no..

Answer 5

We have it as
-20a+25
But 2 5s would make -20a, positive 20a
So, we have to use -5 and -5, to get 25, but also get a negative number in the middle (-20a)

Answer 6

ohhhh

Answer 7

So do you kinda know how to factor it out now

Answer 8

idk

Answer 9

4a^2 -20x +25
Can you first find the first space in both parenthesis?
(__ -__)(__-__)

Answer 10

2a

Answer 11

Yep so we have
(2a-__)(2a-__)
and remember
4a^2 -20x+25
We need the two numbers to be a factor of 25

Answer 12

idk :(

Answer 13

What are the factors of 25

Answer 14

1 5 and 25

Answer 15

Yep so which 2, multiplied by 2, would add up to -20

Answer 16

actually idk, im lost :c

Answer 17

Let's try the factors
if you did
(2a-1)(2a-25)
what would you get?

Answer 18

wym?

Answer 19

Factor it out, use FOIL
(2a-1)(2a-25)

what would you get?
would you get
4a^2 -20a+25?
try it

Answer 20

ohh

Answer 21

So would you get it? or no?

Answer 22

no, I did the math and I got 4a^2 - 52a + 25

Answer 23

Okay, so then we try
(2a-5)(2a-5)
what would you get

Answer 24

ok

Answer 25

I got 4a^2 - 20a + 25

Answer 26

Yep
so there's our answer
(2a-5)(2a-5)

Answer 27

ASDFGHJKL- tyyyyy

Answer 28

ywww

Answer 29

wait, can't it also be (2a-5)^2 or no...

Answer 30

it's a square, all sides are equal, so yes, it can be that

Answer 31

ok, thx