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(3x-4y)^2-(3x-4y)(3x+4y)

3x4y23x4y3x4y class=

Sagot :

Chetankachanaidn

Answer:

[tex]-24xy + 32y^2[/tex]

Step-by-step explanation:

Hello!

We can use the special binomial product formulas:

  • [tex](a + b)^2 = a^2 + 2ab + b^2[/tex]
  • [tex](a + b)(a - b) = a^2 - b^2[/tex]

Simplify

  • [tex](3x - 4y)^2 - (3x - 4y)(3x + 4y)[/tex]
  • [tex](9x^2-24xy+16y^2) - (9x^2 - 16y^2)[/tex]
  • [tex]9x^2 - 9x^2 - 24xy + 16y^2 + 16y^2[/tex]
  • [tex]-24xy + 32y^2[/tex]

The simplified form is [tex]-24xy + 32y^2[/tex]

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