Find the product:(x2 – a2) (x – a)

1.	Find the product:(x2 – a2) (x – a)
Answer» (x² – a²) (x – a) 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= x², b= a², c= x, d= a Now, = x² × (x – a) – a² × (x – a) = [(x² × x) + (x² × -a)] – [(a² × x) + (a² × -a)] = [x³ – x²a – a²x + a³]

Answer»

(x² – a²) (x – a)

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= x², b= a², c= x, d= a

Now,

= x² × (x – a) – a² × (x – a)

= [(x² × x) + (x² × -a)] – [(a² × x) + (a² × -a)]

= [x³ – x²a – a²x + a³]

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Find the product:(x2 – a2) (x – a)

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