exam Maths Puzzle Numerical Ability

Please help.
Factor the expression.
a^2(b -c) - 16b^2(b-c)

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exam Other Question

Quadruple one fifth of some fration that is greater than zero.
Then, multiply the result by the fraction again to get the product 1/5.
WHAT IS THE FRACTION?
please help me to solve this problem

find the coefficient of x^99and x^98 in the polinomial (x-1)(x-2)(X-3)....(x-100)

2)find the nth term and sum to n terms of the series 1