Question

factorise each of the following expression
$4 {p}^{2} + 2 {q}^{2} + {p}^{2} {q}^{2 } + 8$
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Answer 1

Answer:

$(p^2+2)(q^2+4)$

Step-by-step explanation:

In descending order the polynomial is

$p^2q^2+4p^2+2q^2+8$

Splitting the Terms Method

$(p^2q^2+4p^2)+(2q^2+8)$

$p^2(q^2+4)+2(q^2+4)$

Now a common factor $q^2+4$ is shown.

∴$(p^2+2)(q^2+4)$

For your information,

to see the structure well, it is better seen if we order it in descending order.

Because there might be some common factors.