Algebra Examples

$(5 b^{3} + 9 b + 4) - (9 b - 4)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$5 b^{3} + 9 b + 4 - (9 b) - - 4$

Step 1.2

Multiply $9$ by $- 1$ .

$5 b^{3} + 9 b + 4 - 9 b - - 4$

Step 1.3

Multiply $- 1$ by $- 4$ .

$5 b^{3} + 9 b + 4 - 9 b + 4$

Step 2

Simplify by adding terms.

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Step 2.1

Combine the opposite terms in $5 b^{3} + 9 b + 4 - 9 b + 4$ .

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Step 2.1.1

Subtract $9 b$ from $9 b$ .

$5 b^{3} + 0 + 4 + 4$

Step 2.1.2

Add $5 b^{3}$ and $0$ .

$5 b^{3} + 4 + 4$

Step 2.2

Add $4$ and $4$ .

$5 b^{3} + 8$