Basic Math Examples

$8 y (4 y - 7) + 49 y$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$8 y (4 y) + 8 y \cdot - 7 + 49 y$

Step 1.2

Rewrite using the commutative property of multiplication.

$8 \cdot 4 y \cdot y + 8 y \cdot - 7 + 49 y$

Step 1.3

Multiply $- 7$ by $8$ .

$8 \cdot 4 y \cdot y - 56 y + 49 y$

Step 1.4

Simplify each term.

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Step 1.4.1

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

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Step 1.4.1.1

Move $y$ .

$8 \cdot 4 (y \cdot y) - 56 y + 49 y$

Step 1.4.1.2

Multiply $y$ by $y$ .

$8 \cdot 4 y^{2} - 56 y + 49 y$

Step 1.4.2

Multiply $8$ by $4$ .

$32 y^{2} - 56 y + 49 y$

Step 2

Add $- 56 y$ and $49 y$ .

$32 y^{2} - 7 y$