Question
Find the following products:
$ \left(3 p^2+q^2\right) \times\left(2 p^2-3 q^2\right) $
$ \left(3 p^2+q^2\right) \times\left(2 p^2-3 q^2\right) $
✓
Answer
$ \left(3 p^2+q^2\right) \times\left(2 p^2-3 q^2\right) $
$ =3 p^2\left(2 p^2-3 q^2\right)+q^2\left(2 p^2-3 q^2\right) $
$ =6 p^4-9 p^2 q^2+2 p^2 q^2-3 q 4 $
$ =6 p^4-7 p^2 q^2-3 q^4 $
$ =3 p^2\left(2 p^2-3 q^2\right)+q^2\left(2 p^2-3 q^2\right) $
$ =6 p^4-9 p^2 q^2+2 p^2 q^2-3 q 4 $
$ =6 p^4-7 p^2 q^2-3 q^4 $
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