Question

Please help me quickly, the first person who answers gets brainlest

(My answer that's picked I feel like is wrong)

Answer 1

16x^2+24x+9

Rewrite 16x^2+24x+9 as(4x)^2+2*4x*3+3^2

=(4x)^2+2*4x*3+3^2

Apply perfect square formula: (a+b)^2=a^2+2ab+b^2

a=4x b=3

Your answer is (4x+3)^2

Im postive about this you will get it right i promise

Answer 2

Answer:

(4x+3)^2

Step-by-step explanation:

To figure out if you chose the correct answer, work backwards. Take (16x + 3)(x+3) and distribute everything in.

Make arrows from the 16x to both parts in the second half. Then make arrows from the 3 to both parts of the second parenthesis. You now have to multiply these arrows. (This part is for visual learners.)

So, 16x * x     +      16x * 3     +      3 * x      +      3 * 3      =

16x(^2) + 48x  + 3x + 9

This answer would give you 16x (^2) +51x + 9.

So, that answer is not correct.

Let's test the other two, as well.

(4x + 3)(4x - 3)

4x * 4x     +      4x * -3     +      3 * 4x      +      3 * -3      =

16x(^2) + -12x  + 12x + -9 =

Combine like terms:

16x(^2) + -12x  + 12x + -9 =

the -12x + 12x give you 0. That leaves you with 16x(^2) -9. So, that's not the answer.

Let's test the last one.

(4x+3)^2

If you write this out, you will have (4x+3)(4x+3).

Let's solve this.

4x * 4x     +      4x * 3     +      3 * 4x      +      3 * 3      =

16x(^2) + 12x  + 12x + 9 =

Combine like terms:

16x(^2) + 12x  + 12x + 9 =

16x(^2) + 24x + 9

That is the answer we need!