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Question
Find the following product: (y2 + 12) (y2 + 6)
Solution
Here, we will use the identity
\[\left( x + a \right)\left( x + b \right) = x^2 + \left( a + b \right)x + ab\].
\[\left( y^2 + 12 \right)\left( y^2 + 6 \right)\]
\[ = \left( y^2 \right)^2 + \left( 12 + 6 \right)\left( y^2 \right) + 12 \times 6\]
\[ = y^4 + 18 y^2 + 72\]
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