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Mathematics
Leonardo Pruitt
23 October, 14:26
Factor completely 25x-144
+5
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Addison Conley
23 October, 16:26
0
(5√x + 12) (5√x - 12)
Step-by-step explanation:
As 25 and 144 are both square numbers and the expression uses a negative sign, we can use the difference of two squares to factorise 25x - 144.
The formula for the difference of two squares is:
a^2 - b^2 = (a + b) (a - b)
We can apply this rule to factorise 25x - 144.
= 25x - 144
= (5√x) ^2 - (12) ^2
= (5√x + 12) (5√x - 12)
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