By using standard formulae, expand the following:
(12x−32y)2\Big(\dfrac{1}{2}x - \dfrac{3}{2}y\Big)^2(21x−23y)2
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(12x−32y)2=(12x)2−2(12x)(32y)+(32y)2=14x2−32xy+94y2\Big(\dfrac{1}{2}x - \dfrac{3}{2}y\Big)^2 = \Big(\dfrac{1}{2}x\Big)^2 - 2\Big(\dfrac{1}{2}x\Big)\Big(\dfrac{3}{2}y\Big) + \Big(\dfrac{3}{2}y\Big)^2 \\[1em] = \dfrac{1}{4}x^2 - \dfrac{3}{2}xy + \dfrac{9}{4}y^2(21x−23y)2=(21x)2−2(21x)(23y)+(23y)2=41x2−23xy+49y2
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(3x2y + 5z)2
(3x−12x)2\Big(3x - \dfrac{1}{2x} \Big)^2(3x−2x1)2
(x+3)(x+5)
(x+3)(x-5)
