Pre-Algebra Examples

$4 x^{2} + 6 x + (3 x + x^{2}) - (5 x + 4 x^{2})$

Step 1

Remove parentheses.

$4 x^{2} + 6 x + 3 x + x^{2} - (5 x + 4 x^{2})$

Step 2

Simplify each term.

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Step 2.1

Apply the distributive property.

$4 x^{2} + 6 x + 3 x + x^{2} - (5 x) - (4 x^{2})$

Step 2.2

Multiply $5$ by $- 1$ .

$4 x^{2} + 6 x + 3 x + x^{2} - 5 x - (4 x^{2})$

Step 2.3

Multiply $4$ by $- 1$ .

$4 x^{2} + 6 x + 3 x + x^{2} - 5 x - 4 x^{2}$

Step 3

Simplify by adding terms.

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Step 3.1

Combine the opposite terms in $4 x^{2} + 6 x + 3 x + x^{2} - 5 x - 4 x^{2}$ .

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Step 3.1.1

Subtract $4 x^{2}$ from $4 x^{2}$ .

$6 x + 3 x + x^{2} - 5 x + 0$

Step 3.1.2

Add $6 x + 3 x + x^{2} - 5 x$ and $0$ .

$6 x + 3 x + x^{2} - 5 x$

Step 3.2

Add $6 x$ and $3 x$ .

$9 x + x^{2} - 5 x$

Step 3.3

Subtract $5 x$ from $9 x$ .

$x^{2} + 4 x$