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timofeeve [1]
3 years ago
9

How do I factor 25x squared - 64

Mathematics
1 answer:
irga5000 [103]3 years ago
6 0
Its called the Difference of Perfect Squares: 

<span>5 is the square root of 25 </span>
<span>x is the square root of x^2 </span>
<span>(-8)(+8) is the square root of -64 </span>

<span>You can FOIL the factored answer to check your answer: </span>
<span>First: 5x times 5x = 25x^2 </span>
<span>Outside: (-8 times 5x) = -40x </span>
<span>Inside: (+8 times 5x) = +40x </span>
<span>+40x + -40x = 0x so cancel each other out </span>
<span>Last= -8 times +8 = -64 </span>
<span>So the unfactored expression </span>
<span>F= 25x^2 </span>
<span>OI= 0 </span>
<span>L= -64 </span>

<span>25x^2-64 </span>
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