Simplify (x^5-y^5) ÷(x-y) (long division method please)))

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Step-by-step explanation:

The following identities are true for every real

a

,

b

a

2

−

b

2

=

(

a

+

b

)

(

a

−

b

)

a

3

−

b

3

=

(

a

−

b

)

(

a

2

+

a

b

+

b

2

)

a

3

+

b

3

=

(

a

+

b

)

(

a

2

−

a

b

+

b

2

)

Hence

x

6

−

y

6

=

=

(

x

3

)

2

−

(

y

3

)

2

=

(

x

3

+

y

3

)

(

x

3

−

y

3

)

=

(

x

+

y

)

(

x

2

−

x

y

+

y

2

)

(

x

−

y

)

(

x

2

+

x

y

+

y

2

)

a is the correct

u = -(6/7)w

step-by-step explanation:

place all values with 'u' on one side of the equation.

4u + 8w = - 3u + 2w

4u + 3u = 2w - 8w

further simplify the equation by solving the addition and subtraction.

7u = - 6w

make 'u' the independent variable by placing its co-efficient on the right-hand side.

u = - (6/7)w