Respuesta :

wegnerkolmp2741o

Answer:

( 5x-9) (5x+9)

Step-by-step explanation:

25 x^2 - 81

Rewriting

(5x)^2 -9^2

This is the difference of squares

a^2 -b^2 = ( a-b)(a+b)

(5x)^2 -9^2 = ( 5x-9) (5x+9)

25x^2 -81

Write the number in the exponential form with an exponent of 2

5^2 x^2 -81

Write the number in the exponential form with an exponent of 2

5^2 x^2 -9^2

Multiply the terms with equal exponents by multiplying their bases

(5x)^2 -9^2

Using a^2-b^2=(a-b)(a+b), factor the expression

(5x-9)× (5x+9)

Answer: (5x-9)×(5x+9)

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