Mathematics: Me and include step by ! (x+9)(x-9) polynomial identities

Is this geomatry?Step-by-step explanation:...

Me and include step by ! (x+9)(x-9) polynomial

ehaynie

09.01.2022

The given expression is simplified as $(x + 9)(x -9) = x^{2} - 81$

Step-by-step explanation:

Here,the given expression is (x+9)(x -9)

Using the ALGEBRAIC IDENTITY:

(a +b)(a -b) = a^2 - b^2

Now, here in the given expression (x + 9)(x -9)

Comparing it the left side of the identity,

we get a = x

and b = 9

The right side of the equation is $a^{2} - b^{2}$

Substituting the value of a and b, we get

⇒ $(x + 9)(x -9) = (x)^{2} - (9)^{2}$

= $x^{2} - 81$

Hence, the given expression is simplified as $(x + 9)(x -9) = x^{2} - 81$

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