Question

evaluate (y2+3/2)(y2 _ 3/2)

Answer 1

$(y {}^{2} + \frac{3}{2}) (y {}^{2} - \frac{3}{2} ) \\ = (y {}^{2}) {}^{2} - ( \frac{3}{2} ) {}^{2} = a {}^{2} - b {}^{2} = (a + b)(a - b) \\ = y {}^{4} - \frac{9}{4}$