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Maths-

General

Easy

Question

Factor the polynomial as the product of binomials.
$x squared minus 1 over 9$

Hint:

using the formula $a squared minus b squared equals left parenthesis a minus b right parenthesis left parenthesis a plus b right parenthesis$ factorize the given expressions.

The correct answer is: (x-1/3)(x+1/3) is the required product of binomials.

Ans :- $open parentheses x minus 1 third close parentheses open parentheses x plus 1 third close parentheses$ is the required product of binomials.
Given , $x squared minus 1 over 9$
Write $text end text 1 over 9 text as end text open parentheses 1 third close parentheses squared text then we get end text x squared minus open parentheses 1 third close parentheses squared$
As $a squared minus b squared equals left parenthesis a minus b right parenthesis left parenthesis a plus b right parenthesis$
Here a = x and b = $1 third$
$x squared minus 1 over 9 equals open parentheses x minus 1 third close parentheses open parentheses x plus 1 third close parentheses$
∴ $open parentheses x minus 1 third close parentheses open parentheses x plus 1 third close parentheses$ is the required product of binomials.

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