Algebra Examples

$(m^{2} + n^{2}) - (4 m^{2} + 7 n^{2})$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$m^{2} + n^{2} - (4 m^{2}) - (7 n^{2})$

Step 1.2

Multiply $4$ by $- 1$ .

$m^{2} + n^{2} - 4 m^{2} - (7 n^{2})$

Step 1.3

Multiply $7$ by $- 1$ .

$m^{2} + n^{2} - 4 m^{2} - 7 n^{2}$

$m^{2} + n^{2} - 4 m^{2} - 7 n^{2}$

Step 2

Simplify by adding terms.

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Step 2.1

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

$- 3 m^{2} + n^{2} - 7 n^{2}$

Step 2.2

Subtract $7 n^{2}$ from $n^{2}$ .

$- 3 m^{2} - 6 n^{2}$

$- 3 m^{2} - 6 n^{2}$

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