Please help me and include step by step!!!(x+9)(x-9) Polynomial identities
Accepted Solution
A:
Answer:The given expression is simplified as [tex](x + 9)(x -9) = x^{2} - 81[/tex]Step-by-step explanation:Here,the given expression is (x+9)(x -9)Using the ALGEBRAIC IDENTITY:[tex](a +b)(a -b) = a^2 - b^2[/tex]Now, here in the given expression (x + 9)(x -9)Comparing it the left side of the identity, we get a = x and b = 9The right side of the equation is [tex]a^{2} - b^{2}[/tex]Substituting the value of a and b, we get⇒ [tex](x + 9)(x -9) = (x)^{2} - (9)^{2}[/tex]= [tex]x^{2} - 81[/tex]Hence, the given expression is simplified as [tex](x + 9)(x -9) = x^{2} - 81[/tex]