CrazyBun
Answered

Explore Westonci.ca, the leading Q&A site where experts provide accurate and helpful answers to all your questions. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.

Factorise [(x + 1) + (x - 1)]^2 - (x - 1)^2 - (x + 1)^2

Sagot :

emmastan25

Answer:

2(x+1)(x-1)

Step-by-step explanation:

Dead3ill

Answer:

[tex]2(x+1)(x-1)[/tex]

Step-by-step explanation:

QUESTION :-

  • Factorise  [tex][(x + 1) + (x - 1)]^2 - (x - 1)^2 - (x + 1)^2[/tex]

ALGEBRIC IDENTITIES USED IN THIS QUESTION :-

  • [tex](x + y)^2 = x^2 + y^2 + 2xy[/tex]
  • [tex](x-y)^2 = x^2 + y^2 - 2xy[/tex]
  • [tex]x^2 - y^2 = (x+y)(x-y)[/tex]

PROCEDURE :-

[tex][(x + 1) + (x - 1)]^2 - (x - 1)^2 - (x + 1)^2[/tex]

[tex]=> [ x + 1 + x - 1]^2 - [(x-1)^2 + (x+1)^2][/tex]

[tex]=> [2x]^2 - [(x^2 + 1 - 2x )+(x^2 + 1 + 2x)][/tex]

[tex]=> 4x^2 - [x^2 + x^2 + 2x - 2x + 1 + 1][/tex]

[tex]=> 4x^2 - [2x^2 + 2][/tex]

[tex]=> 4x^2 - 2x^2 - 2[/tex]

[tex]=> 2x^2 - 2[/tex]

[tex]=> 2(x^2 - 1)[/tex]

[tex]=> 2(x^2 - 1^2)[/tex]

[tex]=> 2(x+1)(x-1)[/tex]

Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Thank you for using Westonci.ca. Come back for more in-depth answers to all your queries.