need help verofying the following indentity

[NoAsherelol]

Verify the Indentity
Im am really confused about this one,

cox^4 x - sin^4 x = (cos x + sin x)( cos x - sin x)

I tried factoring out the right side but its not working for me please i need help

 

[NoAsherelol]

this is what i have so far

Cos^4 x - Sin^4 x = Cos^2 x - Sin^2 x

is this sum and difference properties, or something totally different

 

[pka]

Now you have the difference of two squares.
Factor that.

 

[masters]

Verify the Indentity
Im am really confused about this one,

cox^4 x - sin^4 x = (cos x + sin x)( cos x - sin x)

I tried factoring out the right side but its not working for me please i need help

Factor the left side (difference of two squares)

(cos^2 x - sin^2 x)(cos^2 x + sin^2 x) = (cos x + sin x)( cos x - sin x)

Factor cos^2 x - sin^2 x (difference of two squares) and know that cos^2 x + sin^2 x = 1

(cos x + sin x)(cos x - sin x)(1) = (cos x + sin x)( cos x - sin x)

 

[NoAsherelol]

yeah thats where i get stuck could you please help me, this is what i came up with so far

Cos^2 x- Sin^4 x= Sin^2 x
am i right, i kinda fell that im not, but my teacher always tells me to trust your first answer

 

[masters]

Verify the Indentity
Im am really confused about this one,

cox^4 x - sin^4 x = (cos x + sin x)( cos x - sin x)

I tried factoring out the right side but its not working for me please i need help

Factor the left side (difference of two squares)

(cos^2 x - sin^2 x)(cos^2 x + sin^2 x) = (cos x + sin x)( cos x - sin x)

Factor cos^2 x - sin^2 x (difference of two squares) and know that cos^2 x + sin^2 x = 1

(cos x + sin x)(cos x - sin x)(1) = (cos x + sin x)( cos x - sin x)

I've already verified this identity for you. What part do you not understand?

 

[NoAsherelol]

ok thank you, im sorry, im going to practice other problems liek it, thank you for your help i reall appreciate it