Question

please solve this step by step

Answer 1

hey mate here is your answer

Answer 2

Answer:

1. x^4 - a^4

2. a^8 - 1

Step-by-step explanation:

Question 7 :

( i ) : ( x + a )( x - a )( x^2 + a^2 )

Solution :

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

= > { ( x + a )( x - a ) }{ x^2 + a^2 }

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From the properties of factorization, we know : -

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

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On the basis of the property given above,

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

Again, by the same property,

= > x^4 - a^4

( ii ) : ( a^2 - 1 )( a^2 + 1 )( a^4 + 1 )

From the properties or identity given above,

= > { ( a^2 )^2 - ( 1 )^2 }{ a^4 + 1 }

= > { a^4 - 1 }{ a^4 + 1 }

= > ( a^4 )^2 - ( 1 )^2

= > a^8 - 1