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Question
Find the following product: (x2 + 4) (x2 + 9)
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Solution
Here, we will use the identity \[\left( x + a \right)\left( x + b \right) = x^2 + \left( a + b \right)x + ab\].
\[\left( x^2 + 4 \right)\left( x^2 + 9 \right)\]
\[ = \left( x^2 \right)^2 + \left( 4 + 9 \right)\left( x^2 \right) + 4 \times 9\]
\[ = x^4 + 13 x^2 + 36\]
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