<PRE><B>Question 541506</B>
The perfect square factoring formula is:

{{{(a + b)^2 = a^2 + 2ab + b^2
}}}

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Your problem:
{{{(5x-1)}}}
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{{{(5^2) (x^2) + 2(5)(-1)(x) + (-1)^2}}}

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Your answer:
{{{25x^2 - 10x + 1}}}
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You may want to note these formulas for the future:
1. {{{a^2 - b^2 = (a-b)(a+b)}}} Difference of squares
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2. {{{a^2 + 2ab + b^2 = (a+b)^2}}} Perfect square
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3. {{{a^2 - 2ab + b^2 = (a-b)^2}}} Perfect square
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4. {{{a^3 - b^3 = (a-b)(a^2 + ab + b^2)}}} Difference of cubes
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5. {{{a^3 + b^3 = (a+b)(a^2 - ab + b^2)}}} Sum of cubes

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