Simplify 3x^2(2y+5x) - Math solver

$3 x^{2} (2 y + 5 x)$

Simplify by multiplying through.

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Apply the distributive property.

$3 x^{2} (2 y) + 3 x^{2} (5 x)$

Reorder.

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Rewrite using the commutative property of multiplication.

$3 \cdot 2 (x^{2} y) + 3 x^{2} (5 x)$

Rewrite using the commutative property of multiplication.

$3 \cdot 2 (x^{2} y) + 3 \cdot 5 (x^{2} x)$

Simplify each term.

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Multiply $3$ by $2$ .

$6 (x^{2} y) + 3 \cdot 5 (x^{2} x)$

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

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Multiply $x^{2}$ by $x$ .

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Raise $x$ to the power of $1$ .

$6 x^{2} y + 3 \cdot 5 (x^{2} x^{1})$

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

$6 x^{2} y + 3 \cdot 5 x^{2 + 1}$

Add $2$ and $1$ .

$6 x^{2} y + 3 \cdot 5 x^{3}$

Multiply $3$ by $5$ .

$6 x^{2} y + 15 x^{3}$

Simplify 3x^2(2y+5x)

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