Basic Math Examples

${(7 - 8 y)}^{2}$

Step 1

Rewrite ${(7 - 8 y)}^{2}$ as $(7 - 8 y) (7 - 8 y)$ .

$(7 - 8 y) (7 - 8 y)$

Step 2

Expand $(7 - 8 y) (7 - 8 y)$ using the FOIL Method.

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Step 2.1

Apply the distributive property.

$7 (7 - 8 y) - 8 y (7 - 8 y)$

Step 2.2

Apply the distributive property.

$7 \cdot 7 + 7 (- 8 y) - 8 y (7 - 8 y)$

Step 2.3

Apply the distributive property.

$7 \cdot 7 + 7 (- 8 y) - 8 y \cdot 7 - 8 y (- 8 y)$

Step 3

Simplify and combine like terms.

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Step 3.1

Simplify each term.

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Step 3.1.1

Multiply $7$ by $7$ .

$49 + 7 (- 8 y) - 8 y \cdot 7 - 8 y (- 8 y)$

Step 3.1.2

Multiply $- 8$ by $7$ .

$49 - 56 y - 8 y \cdot 7 - 8 y (- 8 y)$

Step 3.1.3

Multiply $7$ by $- 8$ .

$49 - 56 y - 56 y - 8 y (- 8 y)$

Step 3.1.4

Rewrite using the commutative property of multiplication.

$49 - 56 y - 56 y - 8 \cdot - 8 y \cdot y$

Step 3.1.5

Multiply $y$ by $y$ by adding the exponents.

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Step 3.1.5.1

Move $y$ .

$49 - 56 y - 56 y - 8 \cdot - 8 (y \cdot y)$

Step 3.1.5.2

Multiply $y$ by $y$ .

$49 - 56 y - 56 y - 8 \cdot - 8 y^{2}$

Step 3.1.6

Multiply $- 8$ by $- 8$ .

$49 - 56 y - 56 y + 64 y^{2}$

Step 3.2

Subtract $56 y$ from $- 56 y$ .

$49 - 112 y + 64 y^{2}$