Question

9a^2+24ab+16b^2 Factoring

Answer 1

Try to write the given expression in the form of \(a^2 - 2ab + b^2\)

Answer 2

It is

Answer 3

Not perfectly. We need to simplify it more. Like, writing 9a^2 as (3a)^2 ...

Answer 4

So 3a^2+8ab+4a^2?

Answer 5

No, first of all, don't forget to put brackets :

\((3a^2) + 8ab + (4b)^2 \)

Now, the second term is wrong, we had 24ab and you have written 8ab, we can write it as :

\(24ab = 2(3a)(4b)\)

\(\implies (3a)^2 + 2(3a)(4b) + (4b)^2\)

Answer 6

Wait so the bottom equation is the answer?

Answer 7

Now, compare it with : \(a^2 + 2ab + b^2\)

You get , a = 3a, b = 4b...

Since, \(a^2+ 2ab + b^2 = (a+b)^2\)

Therefore, \((3a)^2 + 2(3a)(4b) + ( 4b)^2 = (3a+4b)^2 \textbf{or} ~ (3a+4b)(3a+4b)\)

Answer 8

That is not the answer, it was yet to be factored ...

Answer 9

Ah this why i failed the class the first time. lol. So from (3a+4b)(3a+4b)

Answer 10

Yes that is the answer now.