Finite Math Examples

$7 x^{2} - 6 x + 11 x^{4} + (9 x^{2} \cdot (78 x^{4}) + 9 x)$

Step 1

Remove parentheses.

$7 x^{2} - 6 x + 11 x^{4} + 9 x^{2} \cdot (78 x^{4}) + 9 x$

Step 2

Simplify each term.

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Step 2.1

Rewrite using the commutative property of multiplication.

$7 x^{2} - 6 x + 11 x^{4} + 9 \cdot 78 x^{2} x^{4} + 9 x$

Step 2.2

Multiply $x^{2}$ by $x^{4}$ by adding the exponents.

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Step 2.2.1

Move $x^{4}$ .

$7 x^{2} - 6 x + 11 x^{4} + 9 \cdot 78 (x^{4} x^{2}) + 9 x$

Step 2.2.2

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

$7 x^{2} - 6 x + 11 x^{4} + 9 \cdot 78 x^{4 + 2} + 9 x$

Step 2.2.3

Add $4$ and $2$ .

$7 x^{2} - 6 x + 11 x^{4} + 9 \cdot 78 x^{6} + 9 x$

Step 2.3

Multiply $9$ by $78$ .

$7 x^{2} - 6 x + 11 x^{4} + 702 x^{6} + 9 x$

Step 3

Simplify by adding terms.

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Step 3.1

Add $- 6 x$ and $9 x$ .

$7 x^{2} + 11 x^{4} + 702 x^{6} + 3 x$

Step 3.2

Simplify the expression.

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Step 3.2.1

Move $7 x^{2}$ .

$11 x^{4} + 702 x^{6} + 7 x^{2} + 3 x$

Step 3.2.2

Reorder $11 x^{4}$ and $702 x^{6}$ .

$702 x^{6} + 11 x^{4} + 7 x^{2} + 3 x$