Simplify 6x^2(4x^2+3)

$6 x^{2} (4 x^{2} + 3)$

Step 1

Simplify by multiplying through.

Apply the distributive property.

$6 x^{2} (4 x^{2}) + 6 x^{2} \cdot 3$

Simplify the expression.

Rewrite using the commutative property of multiplication.

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

Multiply $3$ by $6$ .

$6 \cdot 4 x^{2} x^{2} + 18 x^{2}$

Step 2

Simplify each term.

Multiply $x^{2}$ by $x^{2}$ by adding the exponents.

Move $x^{2}$ .

$6 \cdot 4 (x^{2} x^{2}) + 18 x^{2}$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$6 \cdot 4 x^{2 + 2} + 18 x^{2}$

Add $2$ and $2$ .

$6 \cdot 4 x^{4} + 18 x^{2}$

Multiply $6$ by $4$ .

$24 x^{4} + 18 x^{2}$