Question
Find the following products: $ \left(x^2+4\right)\left(x^2+9\right) $
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Answer
Here, we will use the identity $(x + a)(x + b) = x^2+ (a + b)x + ab.$
$ \left(x^2+4\right)\left(x^2+9\right) $
$ =\left(x^2\right)^2+(4+9)\left(x^2\right)+4 \times 9 $
$ =x^4+13 x^2+36 $
$ \left(x^2+4\right)\left(x^2+9\right) $
$ =\left(x^2\right)^2+(4+9)\left(x^2\right)+4 \times 9 $
$ =x^4+13 x^2+36 $
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