Question

find the product of xy, x^2y,xy and x

Answer 1

Answer:

Step-by-step explanation:

x

3

−

y

3

 

Explanation:

We must ensure that each term in the second bracket is multiplied by each term in the first bracket.

This can be achieved as follows.

x

(

x

2

+

x

y

+

y

2

)

−

y

(

x

2

+

x

y

+

y

2

)

now distribute the brackets.

x

3

+

x

2

y

+

x

y

2

−

x

2

y

−

x

y

2

−

y

3

collect like terms.

x

3

+

x

2

y

+

x

y

2

−

x

2

y

−

x

y

2

−

y

3

=

x

3

−

y

3

←

a difference of cubes

Answer 2

Answer:

x⁵y³

Step-by-step explanation:

xy × x²y × xy × x

= (x × x² × x × x) × (y × y × y)

= x⁵y³