How do I factor 4p^8-60p^4-225p^2

this is how you would do it on paper

Step-by-step explanation:

For a polynomial of the form

a

x

2

+

b

x

+

c

, rewrite the middle term as a sum of two terms whose product is

a

⋅

c

=

4

⋅

−

1

=

−

4

and whose sum is

b

=

3

.

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Reorder terms.

4

p

2

−

q

2

+

3

p

q

Reorder

−

q

2

and

3

p

q

.

4

p

2

+

3

p

q

−

q

2

Factor

3

out of

3

p

q

.

4

p

2

+

3

(

p

q

)

−

q

2

Rewrite

3

as

−

1

plus

4

4

p

2

+

(

−

1

+

4

)

(

p

q

)

−

q

2

Apply the distributive property.

4

p

2

−

1

(

p

q

)

+

4

(

p

q

)

−

q

2

Remove unnecessary parentheses.

4

p

2

−

1

p

q

+

4

(

p

q

)

−

q

2

Remove unnecessary parentheses.

4

p

2

−

1

p

q

+

4

p

q

−

q

2

Factor out the greatest common factor from each group.

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p

(

4

p

−

1

q

)

+

q

(

4

p

−

q

)

Factor the polynomial by factoring out the greatest common factor,

4

p

−

1

q

.

(

4

p

−

1

q

)

(

p

+

q

)

Rewrite

−

1

q

as

−

q

.

(

4

p

−

q

)

(

p

+

q

)

step-by-step explanation:

this woman was an important writer and propagandist during the american revolution. she was a member of the committee of correspondence (in fact the committee was formed in her home) and was an advisor to many of the revolutionary leaders, including george washington and john adams. who was this revolutionary woman?