Basic Math Examples

$(y^{4} - 7) (y^{4} - 4)$

Step 1

Expand $(y^{4} - 7) (y^{4} - 4)$ using the FOIL Method.

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Step 1.1

Apply the distributive property.

$y^{4} (y^{4} - 4) - 7 (y^{4} - 4)$

Step 1.2

Apply the distributive property.

$y^{4} y^{4} + y^{4} \cdot - 4 - 7 (y^{4} - 4)$

Step 1.3

Apply the distributive property.

$y^{4} y^{4} + y^{4} \cdot - 4 - 7 y^{4} - 7 \cdot - 4$

Step 2

Simplify and combine like terms.

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Step 2.1

Simplify each term.

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Step 2.1.1

Multiply $y^{4}$ by $y^{4}$ by adding the exponents.

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Step 2.1.1.1

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$y^{4 + 4} + y^{4} \cdot - 4 - 7 y^{4} - 7 \cdot - 4$

Step 2.1.1.2

Add $4$ and $4$ .

$y^{8} + y^{4} \cdot - 4 - 7 y^{4} - 7 \cdot - 4$

Step 2.1.2

Move $- 4$ to the left of $y^{4}$ .

$y^{8} - 4 \cdot y^{4} - 7 y^{4} - 7 \cdot - 4$

Step 2.1.3

Multiply $- 7$ by $- 4$ .

$y^{8} - 4 y^{4} - 7 y^{4} + 28$

Step 2.2

Subtract $7 y^{4}$ from $- 4 y^{4}$ .

$y^{8} - 11 y^{4} + 28$