Question
Find the following products:
$ \left(2 x^2-5 y^2\right) \times\left(x^2+3 y^2\right) $
$ \left(2 x^2-5 y^2\right) \times\left(x^2+3 y^2\right) $
✓
Answer
$ \left(2 x^2-5 y^2\right) \times\left(x^2+3 y^2\right) $
$ =2 x^2\left(x^2+3 y^2\right)-5 y^2\left(x^2+3 y^2\right) $
$ =2 x^4+6 x^2 y^2-5 x^2 y^2-15 y^4 $
$ =2 x^4+x^2 y^2-15 y^4 $
$ =2 x^2\left(x^2+3 y^2\right)-5 y^2\left(x^2+3 y^2\right) $
$ =2 x^4+6 x^2 y^2-5 x^2 y^2-15 y^4 $
$ =2 x^4+x^2 y^2-15 y^4 $
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