Factor each polynomial by grouping. p^{2}q^{2}-10-2q^{2}+5p^{2}

sodni3

sodni3

Answered question

2021-06-07

Factor each polynomial by grouping.
p2q2102q2+5p2

Answer & Explanation

saiyansruleA

saiyansruleA

Skilled2021-06-08Added 110 answers

Step 1
The given polynomial is p2q2102q2+5p2
To factor by grouping, we can group the terms as follows,
(p2q22q2)+(5p210)
Step 2
Now we will factorize this expression, (p2q22q2)+(5p210)
In the first bracket, we have q2 as common factor and in the second bracket, we have 5 as a common factor.
Factoring out the common factor we get,
p2(q22)+5(q22)
Next, we have (q22) as a common factor in the whole expression.
Factoring it out we get, (q22)(p2+5)
This will be the factorization of the given expression using the grouping method.

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