Find the Expanded Form (x+3)^2+(y-8)^2=5

${(x + 3)}^{2} + {(y - 8)}^{2} = 5$

Simplify the left side ${(x + 3)}^{2} + {(y - 8)}^{2}$ .

Simplify each term.

Rewrite ${(x + 3)}^{2}$ as $(x + 3) (x + 3)$ .

$(x + 3) (x + 3) + {(y - 8)}^{2} = 5$

Expand $(x + 3) (x + 3)$ using the FOIL Method.

Apply the distributive property.

$x (x + 3) + 3 (x + 3) + {(y - 8)}^{2} = 5$

Apply the distributive property.

$x \cdot x + x \cdot 3 + 3 (x + 3) + {(y - 8)}^{2} = 5$

Apply the distributive property.

$x \cdot x + x \cdot 3 + 3 x + 3 \cdot 3 + {(y - 8)}^{2} = 5$

Simplify and combine like terms.

Simplify each term.

Multiply $x$ by $x$ .

$x^{2} + x \cdot 3 + 3 x + 3 \cdot 3 + {(y - 8)}^{2} = 5$

Move $3$ to the left of $x$ .

$x^{2} + 3 \cdot x + 3 x + 3 \cdot 3 + {(y - 8)}^{2} = 5$

Multiply $3$ by $3$ .

$x^{2} + 3 x + 3 x + 9 + {(y - 8)}^{2} = 5$

Add $3 x$ and $3 x$ .

$x^{2} + 6 x + 9 + {(y - 8)}^{2} = 5$

Rewrite ${(y - 8)}^{2}$ as $(y - 8) (y - 8)$ .

$x^{2} + 6 x + 9 + (y - 8) (y - 8) = 5$

Expand $(y - 8) (y - 8)$ using the FOIL Method.

Apply the distributive property.

$x^{2} + 6 x + 9 + y (y - 8) - 8 (y - 8) = 5$

Apply the distributive property.

$x^{2} + 6 x + 9 + y \cdot y + y \cdot - 8 - 8 (y - 8) = 5$

Apply the distributive property.

$x^{2} + 6 x + 9 + y \cdot y + y \cdot - 8 - 8 y - 8 \cdot - 8 = 5$

Simplify and combine like terms.

Simplify each term.

Multiply $y$ by $y$ .

$x^{2} + 6 x + 9 + y^{2} + y \cdot - 8 - 8 y - 8 \cdot - 8 = 5$

Move $- 8$ to the left of $y$ .

$x^{2} + 6 x + 9 + y^{2} - 8 \cdot y - 8 y - 8 \cdot - 8 = 5$

Multiply $- 8$ by $- 8$ .

$x^{2} + 6 x + 9 + y^{2} - 8 y - 8 y + 64 = 5$

Subtract $8 y$ from $- 8 y$ .

$x^{2} + 6 x + 9 + y^{2} - 16 y + 64 = 5$

Simplify the expression.

Add $9$ and $64$ .

$x^{2} + 6 x + y^{2} - 16 y + 73 = 5$

Move $6 x$ .

$x^{2} + y^{2} + 6 x - 16 y + 73 = 5$

Subtract $5$ from both sides of the equation.

$x^{2} + y^{2} + 6 x - 16 y + 73 - 5 = 0$

Subtract $5$ from $73$ .

$x^{2} + y^{2} + 6 x - 16 y + 68 = 0$

Find the Expanded Form (x+3)^2+(y-8)^2=5

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