Math, asked by duseboy24, 1 year ago

Find the factors of x²-4

Answers

Answered by prerna2018
15
x²-4 => (x²-2²) => (x-2) (x+2) => x=2 or -2
It's the answer!!! Hope it helps uhh!! ✌
Answered by Tulsi4890
1

The factors of (x²-2²) are (x+2)(x-2).

Given:

The quadratic equation is  x²-4.

To Find:

The factors of the given quadratic equation( x²-4).

Solution:

We are required to find the factors of the given quadratic equation( x²-4).

(x²-4) = (x²-2²)

The quadratic equation is in the form of a²-b².

We can factorize the given equation by using algebraic identities.

The algebraic identity that can be used here is a²-b².

The formula of a²-b² is given as

a²-b² = (a+b)(a-b)   ----------(1)

a = x, b = 2

On substituting the values of a and b in equation(1)

⇒ (x²-2²) = (x+2)(x-2)

Therefore, The factors of (x²-2²) are (x+2)(x-2).

#SPJ2

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