Basic Math Examples

${(1 + y)}^{4}$

Step 1

Use the Binomial Theorem.

$1^{4} + 4 \cdot 1^{3} y + 6 \cdot 1^{2} y^{2} + 4 \cdot 1 y^{3} + y^{4}$

Step 2

Simplify each term.

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Step 2.1

One to any power is one.

$1 + 4 \cdot 1^{3} y + 6 \cdot 1^{2} y^{2} + 4 \cdot 1 y^{3} + y^{4}$

Step 2.2

One to any power is one.

$1 + 4 \cdot 1 y + 6 \cdot 1^{2} y^{2} + 4 \cdot 1 y^{3} + y^{4}$

Step 2.3

Multiply $4$ by $1$ .

$1 + 4 y + 6 \cdot 1^{2} y^{2} + 4 \cdot 1 y^{3} + y^{4}$

Step 2.4

One to any power is one.

$1 + 4 y + 6 \cdot 1 y^{2} + 4 \cdot 1 y^{3} + y^{4}$

Step 2.5

Multiply $6$ by $1$ .

$1 + 4 y + 6 y^{2} + 4 \cdot 1 y^{3} + y^{4}$

Step 2.6

Multiply $4$ by $1$ .

$1 + 4 y + 6 y^{2} + 4 y^{3} + y^{4}$