Distribute -3: Distribute -3 to the terms inside the first parentheses. -3(x - 3y) = -3x + 9yExpand binomial square: Expand the square of the binomial (x - 3y)^2. (x - 3y)^2 = (x - 3y)(x - 3y) = x(x) + x(-3y) + (-3y)(x) + (-3y)(-3y) = x^2 - 3xy - 3xy + 9y^2 = x^2 - 6xy + 9y^2Multiply by 6: Multiply the expanded binomial by 6. 6(x^2 - 6xy + 9y^2) = 6x^2 - 36xy + 54y^2Combine results: Combine the results from Step 1 and Step 3. -3x + 9y + 6x^2 - 36xy + 54y^2Arrange in descending order: Arrange the terms in descending order of degree. 6x^2 - 36xy - 3x + 54y^2 + 9y

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$-3(x-3 y)+6(x-3 y)^{2}$

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Algebra 2

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-3(x-3 y)+6(x-3 y)^{2}

Distribute $-3$ : Distribute $-3$ to the terms inside the first parentheses. $\newline$ $-3(x - 3y) = -3x + 9y$
Expand binomial square: Expand the square of the binomial $(x - 3y)^2$ .
$(x - 3y)^2 = (x - 3y)(x - 3y)$
= $x(x) + x(-3y) + (-3y)(x) + (-3y)(-3y)$
= $x^2 - 3xy - 3xy + 9y^2$
= $x^2 - 6xy + 9y^2$
Multiply by $6$ : Multiply the expanded binomial by $6$ . $\newline$ $6(x^2 - 6xy + 9y^2) = 6x^2 - 36xy + 54y^2$
Combine results: Combine the results from Step $1$ and Step $3$ . $\newline$ $-3x + 9y + 6x^2 - 36xy + 54y^2$
Arrange in descending order: Arrange the terms in descending order of degree. $6x^2 - 36xy - 3x + 54y^2 + 9y$