Question

Could use a bit of help here. I'm terrible at Math. ​

Answer 1

Answer:

1. 4(x +3)(x - 3)

2. (11 + 2x)(11 - 2x)

3. 9(x + 3)(x - 3)

Step-by-step explanation:

For 36x^2 - 16,

Taking the common factor of 4 out, we get:

4(x^2 - 9)

4(x +3)(x - 3)   (since we know that x^2 - 9 = (x + 3)(x - 3))

For 121 - 4x^2,

Using the formula a^2 - b^2 = (a + b)(a - b), we get:

= (11)^2 - (2x)^2

= (11 + 2x)(11 - 2x)

For 9x^2 - 81,

Taking the common factor of 9 out, we get:

= 9(x^2 - 9)

Now use the formula a^2 - b^2 = (a + b)(a - b):

= 9((x)^2 - (3)^2)

= 9(x + 3)(x - 3)

Hope this helps!

Answer 2

Step-by-step explanation:

Step 1:  Answer problem 1

Pull out 4

$4(9x^2 - 4)$

Factor

$4(3x + 2)(3x - 2)$

Step 2:  Answer problem 2

Factor

$(11 + 2x)(11 - 2x)$

Step 3:  Answer problem 3

Pull out 9

$9(x^2 - 9)$

$9(x + 3)(x - 3)$