Question

What is factored version of b^2-16

Answer 1

hint1: 16 is a perfect square; 16 = 4^2

hint2: a^2 - b^2 = (a-b)*(a+b) is the difference of squares rule

Answer 2

B-4 ??

Answer 3

that's part of it

Answer 4

(B-4)(b-4) ??

Answer 5

example:

9x^2 - 25 = (3x)^2 - 5^2 = (3x-5)(3x+5)

Answer 6

(b-4)(b-4) is close but not quite there

Answer 7

(B-4)(b+4)

Answer 8

yes

Answer 9

I recommend expanding that out to confirm the answer

Answer 10

Thank you :) can you help with a couple more??

Answer 11

sure

Answer 12

Y^2-2y-15
Would it be (y-5)(y+3) ?

Answer 13

you are correct

Answer 14

Okay :) what about 3x^2+9x?

Answer 15

hint: factor out the GCF

Answer 16

Would it be (x+3)^2

Answer 17

hint:
\[\Large 3x^2 + 9x\]
\[\Large 3x*x + 3x*3\]
\[\Large \color{red}{3x}*x + \color{red}{3x}*3\]

Answer 18

X+3 ??

Answer 19

do you see how there's the common factor of 3x?

we can factor it out to get 3x(x+3)

if you distribute the 3x back in, you should get the original expression back

Answer 20

X^2+3