Question

Help please! One Question! Thanks!
Which binomials are a difference of squares?
Choose two correct answers.
g^4 - 9
x^2 + 16
m^5 - 9
16q^2 - 1

Answer 1

"difference" is the result of a subtraction

example: 10-5 is a difference, so is 2-3

Answer 2

squares are numbers where you multiply them by themselves

example: 5 times 5 = 25, 7 times 7 = 49

Answer 3

"difference of squares" are always in the form x^2 - y^2

x and y are either numbers or algebraic expressions

Answer 4

So the correct answers then would be
x^2 + 16 and 16q^2 - 1

Answer 5

x^2 + 16 is a sum, not a difference (we have a plus, not a minus)

Answer 6

what else is a difference of squares?

Answer 7

I think it would be g^4 - 9?

Answer 8

yep because we can write it in the form (g^2)^2 - 3^2

Answer 9

ahh okay that makes sense for that one! But how would the 16q^2 -1 be one?
I get it because that the first half would be, but the 1 part isnt ^2 at all?

Answer 10

1 = 1^2

Answer 11

16q^2 = (4q)^2

Answer 12

ohh okay! That makes more sense now! I took notes on your explanation of it because you explanied it much easier, Thanks for the help! :)

Answer 13

I'm glad to help out