Algebra Examples

$(4 y^{2} + 2 y - 8) - (7 y^{2} + 4 - y)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$4 y^{2} + 2 y - 8 - (7 y^{2}) - 1 \cdot 4 - - y$

Step 1.2

Simplify.

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Step 1.2.1

Multiply $7$ by $- 1$ .

$4 y^{2} + 2 y - 8 - 7 y^{2} - 1 \cdot 4 - - y$

Step 1.2.2

Multiply $- 1$ by $4$ .

$4 y^{2} + 2 y - 8 - 7 y^{2} - 4 - - y$

Step 1.2.3

Multiply $- - y$ .

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Step 1.2.3.1

Multiply $- 1$ by $- 1$ .

$4 y^{2} + 2 y - 8 - 7 y^{2} - 4 + 1 y$

Step 1.2.3.2

Multiply $y$ by $1$ .

$4 y^{2} + 2 y - 8 - 7 y^{2} - 4 + y$

$4 y^{2} + 2 y - 8 - 7 y^{2} - 4 + y$

$4 y^{2} + 2 y - 8 - 7 y^{2} - 4 + y$

$4 y^{2} + 2 y - 8 - 7 y^{2} - 4 + y$

Step 2

Simplify by adding terms.

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Step 2.1

Subtract $7 y^{2}$ from $4 y^{2}$ .

$- 3 y^{2} + 2 y - 8 - 4 + y$

Step 2.2

Add $2 y$ and $y$ .

$- 3 y^{2} + 3 y - 8 - 4$

Step 2.3

Subtract $4$ from $- 8$ .

$- 3 y^{2} + 3 y - 12$

$- 3 y^{2} + 3 y - 12$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$