Algebra Examples

$\frac{3}{4} (8 x^{2} + 1) + 3 x^{2} + \frac{1}{4}$

Step 1

Simplify each term.

Tap for more steps...

Step 1.1

Apply the distributive property.

$\frac{3}{4} (8 x^{2}) + \frac{3}{4} \cdot 1 + 3 x^{2} + \frac{1}{4}$

Step 1.2

Cancel the common factor of $4$ .

Tap for more steps...

Step 1.2.1

Factor $4$ out of $8 x^{2}$ .

$\frac{3}{4} (4 (2 x^{2})) + \frac{3}{4} \cdot 1 + 3 x^{2} + \frac{1}{4}$

Step 1.2.2

Cancel the common factor.

$\frac{3}{4} (4 (2 x^{2})) + \frac{3}{4} \cdot 1 + 3 x^{2} + \frac{1}{4}$

Step 1.2.3

Rewrite the expression.

$3 (2 x^{2}) + \frac{3}{4} \cdot 1 + 3 x^{2} + \frac{1}{4}$

Step 1.3

Multiply $2$ by $3$ .

$6 x^{2} + \frac{3}{4} \cdot 1 + 3 x^{2} + \frac{1}{4}$

Step 1.4

Multiply $\frac{3}{4}$ by $1$ .

$6 x^{2} + \frac{3}{4} + 3 x^{2} + \frac{1}{4}$

Step 2

Simplify terms.

Tap for more steps...

Step 2.1

Combine the numerators over the common denominator.

$6 x^{2} + 3 x^{2} + \frac{3 + 1}{4}$

Step 2.2

Simplify the expression.

Tap for more steps...

Step 2.2.1

Add $3$ and $1$ .

$6 x^{2} + 3 x^{2} + \frac{4}{4}$

Step 2.2.2

Divide $4$ by $4$ .

$6 x^{2} + 3 x^{2} + 1$

Step 2.3

Add $6 x^{2}$ and $3 x^{2}$ .

$9 x^{2} + 1$