Simplify (x^2+x)(x^2)

$(x^{2} + x) (x^{2})$

Apply the distributive property.

$x^{2} x^{2} + x \cdot x^{2}$

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

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

$x^{2 + 2} + x \cdot x^{2}$

Add $2$ and $2$ .

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

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

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

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

$x^{4} + x^{1} x^{2}$

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

$x^{4} + x^{1 + 2}$

Add $1$ and $2$ .

$x^{4} + x^{3}$