Basic Math Examples

${(2 r)}^{2} s^{2} + 6 {(r s)}^{2} + 1$

Step 1

Simplify each term.

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Step 1.1

Apply the product rule to $2 r$ .

$2^{2} r^{2} s^{2} + 6 {(r s)}^{2} + 1$

Step 1.2

Raise $2$ to the power of $2$ .

$4 r^{2} s^{2} + 6 {(r s)}^{2} + 1$

Step 1.3

Apply the product rule to $r s$ .

$4 r^{2} s^{2} + 6 r^{2} s^{2} + 1$

$4 r^{2} s^{2} + 6 r^{2} s^{2} + 1$

Step 2

Add $4 r^{2} s^{2}$ and $6 r^{2} s^{2}$ .

$10 r^{2} s^{2} + 1$

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