Simplify (5x-3y)^2 - MathMaster

${(5 x - 3 y)}^{2}$

Rewrite ${(5 x - 3 y)}^{2}$ as $(5 x - 3 y) (5 x - 3 y)$ .

$(5 x - 3 y) (5 x - 3 y)$

Expand $(5 x - 3 y) (5 x - 3 y)$ using the FOIL Method.

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Apply the distributive property.

$5 x (5 x - 3 y) - 3 y (5 x - 3 y)$

Apply the distributive property.

$5 x (5 x) + 5 x (- 3 y) - 3 y (5 x - 3 y)$

Apply the distributive property.

$5 x (5 x) + 5 x (- 3 y) - 3 y (5 x) - 3 y (- 3 y)$

Simplify and combine like terms.

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Simplify each term.

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Multiply $x$ by $x$ .

$5 \cdot 5 x^{2} + 5 x (- 3 y) - 3 y (5 x) - 3 y (- 3 y)$

Multiply $5$ by $5$ .

$25 x^{2} + 5 x (- 3 y) - 3 y (5 x) - 3 y (- 3 y)$

Rewrite using the commutative property of multiplication.

$25 x^{2} + 5 \cdot - 3 (x y) - 3 y (5 x) - 3 y (- 3 y)$

Multiply $5$ by $- 3$ .

$25 x^{2} - 15 (x y) - 3 y (5 x) - 3 y (- 3 y)$

Rewrite using the commutative property of multiplication.

$25 x^{2} - 15 x y - 3 \cdot 5 (y x) - 3 y (- 3 y)$

Multiply $- 3$ by $5$ .

$25 x^{2} - 15 x y - 15 (y x) - 3 y (- 3 y)$

Multiply $y$ by $y$ .

$25 x^{2} - 15 x y - 15 y x - 3 \cdot - 3 y^{2}$

Multiply $- 3$ by $- 3$ .

$25 x^{2} - 15 x y - 15 y x + 9 y^{2}$

Subtract $15 y x$ from $- 15 x y$ .

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Move $y$ .

$25 x^{2} - 15 x y - 15 x y + 9 y^{2}$

Subtract $15 x y$ from $- 15 x y$ .

$25 x^{2} - 30 x y + 9 y^{2}$

Simplify (5x-3y)^2

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