Basic Math Examples

$(4 y + 7) \cdot (7 y) + 2$

Step 1

Apply the distributive property.

$4 y (7 y) + 7 (7 y) + 2$

Step 2

Rewrite using the commutative property of multiplication.

$4 \cdot 7 y \cdot y + 7 (7 y) + 2$

Step 3

Multiply $7$ by $7$ .

$4 \cdot 7 y \cdot y + 49 y + 2$

Step 4

Simplify each term.

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Step 4.1

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

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Step 4.1.1

Move $y$ .

$4 \cdot 7 (y \cdot y) + 49 y + 2$

Step 4.1.2

Multiply $y$ by $y$ .

$4 \cdot 7 y^{2} + 49 y + 2$

Step 4.2

Multiply $4$ by $7$ .

$28 y^{2} + 49 y + 2$