Question
Find the following products:$ \left(y^2+12\right)\left(y^2+6\right) $
✓
Answer
Here, we will use the identity $(x + a)(x + b) = x^2+ (a + b)x + ab.$
$ \left(y^2+12\right)\left(y^2+6\right) $
$ =\left(y^2\right)^2+(12+6)\left(y^2\right)+12 \times 6 $
$ =y^4+18 y^2+72 $
$ \left(y^2+12\right)\left(y^2+6\right) $
$ =\left(y^2\right)^2+(12+6)\left(y^2\right)+12 \times 6 $
$ =y^4+18 y^2+72 $
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