Question

simplify :- (x+a)(x-a)(x²+a²)​

Answer 1

Answer:

Suppose (a−b) and (c−d) are two binomials. By using the distributive law of multiplication over addition twice, we may find their product as given below.

(a−b)×(c−d)=a×(c−d)−b×(c−d)=(a×c−a×d)−(b×c−b×d)

=ac−ad−bc+bd

Let,

a=x

2

,b=a

2

,c=x,d=a

Now,

=x

2

×(x−a)−a

2

×(x−a)

=[(x

2

×x)+((a

2

×x)+(a

2

×−a)]

=[x

3

−x

2

a−a

2

x+a

3

]