Question
Find the following products:
$ \left(9 x^2-x+15\right) \times\left(x^2-3\right) $
$ \left(9 x^2-x+15\right) \times\left(x^2-3\right) $
✓
Answer
$ \left(9 x^2-x+15\right) \times\left(x^2-3\right) $
$ =\left(9 x^2-x+15\right) \times x^2\left(9 x^2-x+15\right) \times(-3) $
$ =9 x^4-x^3+15 x^2-27 x^2+3 x-45 $
$ =9 x^4-x^3-12 x^2+3 x-45 $
$ =\left(9 x^2-x+15\right) \times x^2\left(9 x^2-x+15\right) \times(-3) $
$ =9 x^4-x^3+15 x^2-27 x^2+3 x-45 $
$ =9 x^4-x^3-12 x^2+3 x-45 $
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