How do you factor completely $25x^2 -10x+ 1$ ?

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Answer 1 · 2018-06-15T01:46:49

$color(blue)( => (5x - 1)^2$

$25x^2 - 10x + 1$

$=> (5x)^2 - 10x + 1$

$"It is in the form "color(purple)(a^2 - 2ab + b^2 " where " a = 5x, b = 1$

$color(crimson)(a^2 - 2ab + b^2 = (a - b)^2$

$:. => (5x - 1)^2$

How do you factor completely 25x^2 -10x+ 125x^2 -10x+ 1?