Finite Math Examples

${(10 + y)}^{2} - y^{2} - 11 x + 4$

Step 1

Simplify each term.

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Step 1.1

Rewrite ${(10 + y)}^{2}$ as $(10 + y) (10 + y)$ .

$(10 + y) (10 + y) - y^{2} - 11 x + 4$

Step 1.2

Expand $(10 + y) (10 + y)$ using the FOIL Method.

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Step 1.2.1

Apply the distributive property.

$10 (10 + y) + y (10 + y) - y^{2} - 11 x + 4$

Step 1.2.2

Apply the distributive property.

$10 \cdot 10 + 10 y + y (10 + y) - y^{2} - 11 x + 4$

Step 1.2.3

Apply the distributive property.

$10 \cdot 10 + 10 y + y \cdot 10 + y \cdot y - y^{2} - 11 x + 4$

Step 1.3

Simplify and combine like terms.

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Step 1.3.1

Simplify each term.

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Step 1.3.1.1

Multiply $10$ by $10$ .

$100 + 10 y + y \cdot 10 + y \cdot y - y^{2} - 11 x + 4$

Step 1.3.1.2

Move $10$ to the left of $y$ .

$100 + 10 y + 10 \cdot y + y \cdot y - y^{2} - 11 x + 4$

Step 1.3.1.3

Multiply $y$ by $y$ .

$100 + 10 y + 10 y + y^{2} - y^{2} - 11 x + 4$

Step 1.3.2

Add $10 y$ and $10 y$ .

$100 + 20 y + y^{2} - y^{2} - 11 x + 4$

Step 2

Simplify by adding terms.

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Step 2.1

Combine the opposite terms in $100 + 20 y + y^{2} - y^{2} - 11 x + 4$ .

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Step 2.1.1

Subtract $y^{2}$ from $y^{2}$ .

$100 + 20 y + 0 - 11 x + 4$

Step 2.1.2

Add $100 + 20 y$ and $0$ .

$100 + 20 y - 11 x + 4$

Step 2.2

Simplify the expression.

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Step 2.2.1

Add $100$ and $4$ .

$20 y - 11 x + 104$

Step 2.2.2

Reorder $20 y$ and $- 11 x$ .

$- 11 x + 20 y + 104$