The common factor of 10 $a^{2}$ + 5 $b^{2}$ + 15 $c^{2}$ is

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Solution

The correct option is C
5

10 $a^{2}$ = 2 × 5 × a × a

5 $b^{2}$ = 5 × b × b

15 $c^{2}$ = 3 × 5 × c × c

The common factor is 5.

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$25 (a - 5 b)^{2} - 4 (a - 3 b)^{2}$

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Find the value of $^{15} C_{2}$ + 2 $^{15} C_{3}$ + 3 $^{15} C_{4}$ . . . . . 14 $^{15} C_{15}$

\frac{^{15} C_{1}}{^{15} C_{0}} + 2. \frac{^{15} C_{2}}{^{15} C_{1}} + 3. \frac{^{15} C_{3}}{^{15} C_{2}} + \dots + 15. \frac{^{15} C_{15}}{^{15} C_{14}} =

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