Which shows a difference of squares?
10y2-4x2,16y2-x2,8x2-40x + 25, 64x2-48x + 9
Solution:
The difference of two squares is a theorem that tells us if a quadratic equation can be written as a product of two binomials, in which one shows the difference of the square roots and the other shows the sum of the square roots.
We use the formula a2 - b2= (a + b)(a - b)
If a term is possibly expressed in this form then the term is said to show the difference of squares.
Case1:
Consider 10y2 - 4x2
Which can not be expressed in the form of a2- b2
Since 10 is not a perfect square.
Case2:
Consider 16y2 - x2
Which can be expressed in the form of a2- b2 as
16y2 - x2 =(4y + x)(4y - x)
Case3:
Consider 8x2 - 40x + 25
This polynomial cannot be factorized.
Case-4
Consider 64x2 - 48x + 9
This polynomial cannot be factorized.
Which shows a difference of squares?
10y2-4x2,16y2-x2,8x2-40x + 25, 64x2-48x + 9
Summary:
The only term possible to express as perfect squares is 16y2 - x2
visual curriculum