durango456 durango456
  • 12-11-2020
  • Mathematics
contestada

4x^2 - 9y^6
what patterns can be used ?
please and thank you !!!

4x2 9y6 what patterns can be used please and thank you class=

Respuesta :

elcharly64
elcharly64 elcharly64
  • 13-11-2020

Answer:

B. (U+V)(U-V)

Step-by-step explanation:

Factoring

The given expression is:

[tex]4x^2-9y^6[/tex]

It should be noted that both terms are perfect squares:

[tex](2x)^2=4x^2[/tex]

[tex](3y^3)^2=9y^6[/tex]

Since it's a difference of squares, we need to use the following pattern to factor the required expression:

[tex](U^2-V^2)=(U+V)(U-V)[/tex]

Thus, the answer is

B. (U+V)(U-V)

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