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Damm [24]
3 years ago
11

Pa^2 + qb^2 + pb^2 + qa^2​

Mathematics
1 answer:
Scilla [17]3 years ago
8 0

Answer:

p

a

+

q

a

−

r

a

+

r

b

−

q

b

−

p

b

Regroup terms.

p

a

−

p

b

+

q

a

−

r

a

+

r

b

−

q

b

Factor

p

out of

p

a

−

p

b

.

Tap for more steps...

p

(

a

−

1

b

)

+

q

a

−

r

a

+

r

b

−

q

b

Rewrite

−

1

b

as

−

b

.

p

(

a

−

b

)

+

q

a

−

r

a

+

r

b

−

q

b

Factor out the greatest common factor from each group.

Tap for more steps...

p

(

a

−

b

)

+

a

(

q

−

r

)

−

b

(

−

r

+

q

)

Factor the polynomial by factoring out the greatest common factor,

q

−

r

.

p

(

a

−

b

)

+

(

q

−

r

)

(

a

−

b

)

Factor

a

−

b

out of

p

(

a

−

b

)

+

(

q

−

r

)

(

a

−

b

)

.

Tap for more steps...

(

a

−

b

)

(

p

+

q

−

r

)

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