Algebra Examples

$(r^{2} + s^{2}) - (5 r^{2} + 4 s^{2})$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$r^{2} + s^{2} - (5 r^{2}) - (4 s^{2})$

Step 1.2

Multiply $5$ by $- 1$ .

$r^{2} + s^{2} - 5 r^{2} - (4 s^{2})$

Step 1.3

Multiply $4$ by $- 1$ .

$r^{2} + s^{2} - 5 r^{2} - 4 s^{2}$

$r^{2} + s^{2} - 5 r^{2} - 4 s^{2}$

Step 2

Simplify by adding terms.

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Step 2.1

Subtract $5 r^{2}$ from $r^{2}$ .

$- 4 r^{2} + s^{2} - 4 s^{2}$

Step 2.2

Subtract $4 s^{2}$ from $s^{2}$ .

$- 4 r^{2} - 3 s^{2}$

$- 4 r^{2} - 3 s^{2}$

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