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  • 11-03-2019
  • Mathematics
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What is the expression 4x^2 - 25 is equivalent to

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gmany
gmany gmany
  • 17-03-2019

Answer:

[tex]\large\boxed{4x^2-25=(2x-5)(2x+5)}[/tex]

Step-by-step explanation:

[tex]a^2-b^2=(a-b)(a+b)\\\\4x^2-25=2^2x^2-5^2\qquad\text{use}\ (ab)^n=a^nb^n\\\\=(2x)^2-5^2=(2x-5)(2x+5)[/tex]

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