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Variable Separable Method

Expand: 2x-...

Question

Expand: $(2 x - y) (2 x + y) (4 x^{2} + y^{2})$

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Solution

We need to expand $(2 x - y) (2 x + y) (4 x^{2} + y^{2})$
By using identity $(a - b) (a + b) = (a^{2} - b^{2})$
Here $a = 2 x, b = y$
Thus $(2 x - y) (2 x + y) = (4 x^{2} - y^{2})$
Again using the same identity, here $x = 4 x^{2}, b = y^{2}$
Thus the value of $(4 x^{2} - y^{2}) (4 x^{2} + y^{2})$ is $(16 x^{4} - y^{4})$ .

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