How do you multiply ${(- 6 x + 3 y)}^{2}$ $(-6x+3y)^2$ ?

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How do you multiply ${(- 6 x + 3 y)}^{2}$ $(-6x+3y)^2$ ?

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Answer 1 · 2017-06-06T18:28:57

$36 x^{2} - 36 x y + 9 y^{2}$ $36x^2-36xy+9y^2$

Explanation:

$each term in the second bracket must be multiplied$ $"each term in the second bracket must be multiplied"$
$by each term in the first bracket as shown below$ $"by each term in the first bracket as shown below"$

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

$= (- 6 x + 3 y) (- 6 x + 3 y)$ $=(color(red)(-6x+3y))(-6x+3y)$

$= - 6 x (- 6 x + 3 y) + 3 y (- 6 x + 3 y)$ $=color(red)(-6x)(-6x+3y)color(red)(+3y)(-6x+3y)$

$= (- 6 x \times - 6 x) + (- 6 x \times 3 y) + (3 y \times - 6 x)$ $=(color(red)(-6x)xx-6x)+(color(red)(-6x)xx3y)+(color(red)(3y)xx-6x)$
$= + (3 y \times 3 y)$ $color(white)(=)+(color(red)(3y)xx3y)$

$= 36 x^{2} + (- 18 x y) + (- 18 x y) + 9 y^{2}$ $=36x^2+(-18xy)+(-18xy)+9y^2$

$= 36 x^{2} - 18 x y - 18 x y + 9 y^{2}$ $=36x^2-18xy-18xy+9y^2$

$= 36 x^{2} - 36 x y + 9 y^{2}$ $=36x^2-36xy+9y^2$

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How do you multiply ${(- 6 x + 3 y)}^{2}$ $(-6x+3y)^2$ ?

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