Question

Which binomials are a difference of squares?

Choose exactly two correct answers.


y4 + 9


9x2 – 16


m6 – 25


p7 – 1

Answer 1

Options B and C.

Explanation:

Difference of squares is defined as

`a^2-b^2`

where, a and b both area real numbers.

`y^4+9\Rightarrow (y^2)^2+3^2`

It is sum of squares.

`9x^2-16\Rightarrow (3x)^2-4^2`

It is difference of squares.

`m^6-25\Rightarrow (m^3)^2-5^2`

It is difference of squares.

`m^7-1\Rightarrow m^7-1^2`

It is not a difference of squares.

Therefore, the correct options are B and C.