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Factorise x^2 - 1
Please help

Sagot :

Herbjuiceidn

Answer:

(x−1)(x+1)

Step-by-step explanation:

Armanarnavidn

Answer:

[tex](x+1)(x-1)[/tex]

Step-by-step explanation:

Let's factor: [tex]x^2-1[/tex]

[tex]x^2-1[/tex]

The middle number is 0 and the last number is -1.

Factoring means we want something like

( x + _ )( x + _ )

Which numbers go in the blanks?

We need two numbers that…

  • Add together to get 0
  • Multiply together to get -1

Can you think of the two numbers?

Try 1 and -1:

[tex]1 + (-1) = 0\\1*(-1) = -1[/tex]

Fill in the blanks in

(x+_)(x+_)

with 1 and -1 to get...

(x+1)(x-1)

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