Question
Find the following products: $(y^2- 4)(y^2- 3)$
✓
Answer
Here, we will use the identity $(x - a)(x - b) = x^2- (a + b)x + ab.$
$ \left(y^2-4\right)\left(y^2-3\right) $
$ =(y 2)^2-(4+3)\left(y^2\right)+4 \times 3 $
$ =y^4-7 y^2+12 $
$ \left(y^2-4\right)\left(y^2-3\right) $
$ =(y 2)^2-(4+3)\left(y^2\right)+4 \times 3 $
$ =y^4-7 y^2+12 $
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