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Question
Find the following product: (y2 − 4) (y2 − 3)
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Solution
Here, we will use the identity \[\left( x - a \right)\left( x - b \right) = x^2 - \left( a + b \right)x + ab\].
\[\left( y^2 - 4 \right)\left( y^2 - 3 \right)\]
\[ = \left( y^2 \right)^2 - \left( 4 + 3 \right)\left( y^2 \right) + 4 \times 3\]
\[ = y^4 - 7 y^2 + 12\]
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