Basic Math Examples

$(16 y^{2} - 9) - (26 y^{3} - 5 y^{2} - 7)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$16 y^{2} - 9 - (26 y^{3}) - (- 5 y^{2}) - - 7$

Step 1.2

Simplify.

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Step 1.2.1

Multiply $26$ by $- 1$ .

$16 y^{2} - 9 - 26 y^{3} - (- 5 y^{2}) - - 7$

Step 1.2.2

Multiply $- 5$ by $- 1$ .

$16 y^{2} - 9 - 26 y^{3} + 5 y^{2} - - 7$

Step 1.2.3

Multiply $- 1$ by $- 7$ .

$16 y^{2} - 9 - 26 y^{3} + 5 y^{2} + 7$

$16 y^{2} - 9 - 26 y^{3} + 5 y^{2} + 7$

$16 y^{2} - 9 - 26 y^{3} + 5 y^{2} + 7$

Step 2

Simplify by adding terms.

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Step 2.1

Add $16 y^{2}$ and $5 y^{2}$ .

$21 y^{2} - 9 - 26 y^{3} + 7$

Step 2.2

Simplify the expression.

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Step 2.2.1

Add $- 9$ and $7$ .

$21 y^{2} - 26 y^{3} - 2$

Step 2.2.2

Reorder $21 y^{2}$ and $- 26 y^{3}$ .

$- 26 y^{3} + 21 y^{2} - 2$

$- 26 y^{3} + 21 y^{2} - 2$

$- 26 y^{3} + 21 y^{2} - 2$

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