how do you find the factors of the difference of two squares?
Answers
Answer:
Every difference of squares problem can be factored as follows: a2 – b2 = (a + b)(a – b) or (a – b)(a + b). So, all you need to do to factor these types of problems is to determine what numbers squares will produce the desired results. Step 3: Determine if the remaining factors can be factored any further.
Given : Difference of two squares
To Find : Factors
Solution:
Difference of two squares
Let say two squares are
a² and b²
Difference of two squares = a² - b²
a² - b² = (a + b)(a - b)
Lets see how this can be shown :
a² - b²
Add and subtract ab
= a² - b² + ab - ab
reorder the terms
= a² + ab - b² - ab
Taking a common in first two terms and -b common in last two terms
= a(a + b) - b(b + a)
= a(a + b) - b(a + b)
Taking (a + b) common
= (a + b)(a - b)
Hence a² - b² = (a + b)(a - b)
difference of two squares is product of sum and difference of numbers whose squares are given
Learn More:
Solve the following x+y/xy=5 and x-5/xy=7 - Brainly.in
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solve for x and y : x+y/xy=2,xy/=6
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