English, asked by Anupamkumar4553, 7 months ago

factorise each of the following algebraic expression.
please help me
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Answers

Answered by Anonymous
1

Answer:

 =  {x}^{8}  - 1 \\  =  {( {x}^{4}) }^{2}  -  {1}^{2}  \\  = ( {x}^{4}  - 1)( {x}^{4}  + 1) \\  = (( { {x}^{2}) }^{2}  - 1)( {x}^{4}  + 1) \\  = ( {x}^{4}  + 1)( {x}^{2}  + 1)( {x}^{2}  - 1) \\  =  ( {x}^{4}  + 1)( {x}^{2}  + 1)(x + 1)(x - 1) \\  \\  \\  =  {x}^{2}  + 8x + 15 \\  =  {x}^{2}  + 5x + 3x  + 15\\  = x(x + 5) + 3(x + 5) \\  = (x + 5)(x + 3) \\  \\  \\  \\   =  {x}^{4}  + 4 \\  =  { ({x}^{2} )}^{2}  +  {2}^{2}  \\  = ( {x}^{2}  + 2)( {x}^{2}  - 2) \\  = ( {x}^{2}  + 2)( {x}^{2}  +  \sqrt{2} )( {x}^{2}  -  \sqrt{2} )

Answered by meghamahajn
8

Explanation:

1.x^8-1

=(x^4+1) (x^4-1)

=(x^4+1) (x^2+1) (x^2-1)

=(x^4+1) (x^2+1) (x+1) (x-1)

2.x^2+8x+15

=(x+3) (x+5)

=if,x+3=0

then,x=-3

=if,x+5=0

then,x=-5

3.x^4+4

=x^2+2^2

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

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

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