MATH 114N Difference of Squares and Perfect Square
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· Example: 81x^2-16
· I always start by rewriting my parenthesis, one set with a (+) and another with a ( - ) so it should be set up to look like (__+__)(__-__)
· First you want to find the square root of the first part of the equation so the square root of 81x^2 is 9x which makes 81x^2 a perfect square
· Next is to find the square root of the next part of the equation so the square root of 16 is 4 which also makes 16 a perfect square .
· Next you will rewrite the equation as (9x+4)(9x-4)
· Your final answer is (9x+4)(9x-4
·
I always start by rewriting my
parenthesis, one set with a (+) and another with a ( - ) so it should be set up
to look like (__+__)(__-__)
·
First you want to find the square root
of the first part of the equation so the square root of 81x^2 is 9x which makes
81x^2 a perfect square
·
Next is to find the square root of the
next part of the equation so the square root of 16 is 4 which also makes 16 a perfect square .
·
Next you will rewrite the equation as
(9x+4)(9x-4)
·
Your final answer is (9x+4)(9x-4