Question

Which shows a difference of squares?10y2 – 4x216y2 – x28x2 – 40x + 2564x2 – 48x + 9

Answer 1

B.
`(4y)^2-x^2`

Explanation:

We are asked to choose the correct option that shows the difference of squares.

We know that difference of squares is in form
`a^2-b^2`.

Upon looking at our given choice, we can see that option B is the correct choice as:

`16y^2-x^2=4^2\cdot y^2-x^2=(4y)^2-x^2`

Therefore, option B is the correct choice.

Answer 2

10y² - 4x² = 2(5y² - 2x²)
16y² - x² = (4y + x)(4y - x) ................this is a difference of squares!
8x² - 40x + 256 = 8(x² - 5x + 32)
4x² - 48x + 9