Question

Factorisation of P² - 81 


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Answer 1

Answer:

(p+9) (p-9)

Step-by-step explanation:

Identity used:

Identity used:a² -b² = (a+b) (a-b)

p² - 81

p² - 9²

(p+9) (p-9)

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Answer 2

Given,

An algebraic expression: P² - 81 

To find,

The factorized product of the given algebraic expression.

Solution,

We can simply solve this mathematical problem using the following process:

Mathematically,

If a and b are any two variables, then, there exists an algebraic identity such that,

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

{Statement-1}

On simplifying and factorizing the given algebraic expression, we get;

P² - 81 

= (P)² - (9)²

= (P+9)(P-9)

{according to statement-1}

Hence, the factorized product of the given algebraic expression: P² - 81, is equal to (P+9)(P-9).