KingmichaelP439285 KingmichaelP439285
  • 25-10-2022
  • Mathematics
contestada

Which of the following is the correct expansion of (3x - 3y)^2?9 x^2 - 18 xy + 9 y^29 x^2 - 9 y^29 x^2 + 9 y^29 x^2 + 18 xy + 9 y^2

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WinstonW752410 WinstonW752410
  • 25-10-2022

Given:

The expression is,

[tex](3x-3y)^2[/tex]

Taking the expansion,

[tex]\begin{gathered} As\text{ we know,} \\ (a-b)^2=a^2-2ab+b^2 \\ (3x-3y)^2=(3x)^2-2\times(3x)\times(3y)+(3y)^2 \\ =9x^2-18xy+9y^2 \end{gathered}[/tex]

Answer: The correct expansion for given expression is,

[tex](3x-3y)^2=9x^2-18xy+9y^2[/tex]

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