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Allotropes Of Oxygen Are______

Allotropes of oxygen are\(\begin{array}{l} O_{2} and O_{3} \end{array} \) Diatomic oxygen – \(\begin{array}{l} O_{2} \end{array} \) Ozone -\(\begin{array}{l} O_{3} \end{array}... View Article

Find (d / dx) (cos2 x) by using chain rule.

Differentiating by chain rule, \(\begin{array}{l}\begin{array}{l} \left(\frac{\mathrm{d}({cosx})^{2}}{\mathrm{~d}(\cos x)}\right) \times\left(\frac{\mathrm{dcosx}}{\mathrm{dx}}\right)\\ =2 \cos x \times(-\sin x)\\ =-2 \sin x \cos x\\ =-\sin 2... View Article

Factorize: 27 – 125a3 – 135a + 225a2.

The given expression is \(\begin{array}{l}\begin{array}{l} 27-125 \mathrm{a}^{3}-135 \mathrm{a}+225 \mathrm{a}^{2} \\ =3^{3}+(-5 \mathrm{a})^{3}-45 \mathrm{a}(3-5 \mathrm{a}) \\ =(3)^{3}+(-5 \mathrm{a})^{3}+3 \times 3 \times(-5... View Article