Algebra Examples

$(7 x^{3}) (3 x^{7})$

Step 1

To write a polynomial in standard form, simplify and then arrange the terms in descending order.

$a x^{2} + b x + c$

Step 2

Rewrite using the commutative property of multiplication.

$7 \cdot 3 x^{3} x^{7}$

Step 3

Multiply $x^{3}$ by $x^{7}$ by adding the exponents.

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Step 3.1

Move $x^{7}$ .

$7 \cdot 3 (x^{7} x^{3})$

Step 3.2

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

$7 \cdot 3 x^{7 + 3}$

Step 3.3

Add $7$ and $3$ .

$7 \cdot 3 x^{10}$

Step 4

Multiply $7$ by $3$ .

$21 x^{10}$