Question

Which of the expressions below can be factored using the difference of squares method?

A. 9x^2 - 16y2
B. 9x-16y
C. 9x^2 + 1672
D. 9x + 16y

Answer 1

A

Explanation:

Answer 2

Answer: A.
`9x^2 - 16y^2` .

Explanation:

• A difference of squares problem is factored as :
  `a^2 - b^2 = (a + b)(a - b)`
• For this both terms in the form of squares and a minus sign between them.

From all the options only option A has both terms square and they minus sign between them.

Also,
`9x^2 - 16y^2= (3x)^2-(4y)^2=(3x+4y)(3x-4y)`

Here a= 3x and b= 4

Hence, the correct answer is A.
`9x^2 - 16y^2` .