Factorise : ( p+q)2 - 20(p-q) - 125 expertzzz pls answer
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Let p + q = x
x2 - 20x - 125 = x2 - 25x + 5x - 125 = x (x-25) + 5 (x-25) = (x+5)(x-25)
= (p+q+5)(p+q-25).
Factoring is a remarkably powerful tool, which is used at every level.
It provides a standard method for solving quadratic equations as well, of course, as for simplifying complicated expressions.
It is also useful when graphing functions.
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