Finite Math Examples

$(1.3 x^{3} + 4.8 x^{2} - 3.5 x) - 0.08 (2 x^{3} - 7 x^{2} + 3)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$1.3 x^{3} + 4.8 x^{2} - 3.5 x - 0.08 (2 x^{3}) - 0.08 (- 7 x^{2}) - 0.08 \cdot 3$

Step 1.2

Simplify.

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Step 1.2.1

Multiply $2$ by $- 0.08$ .

$1.3 x^{3} + 4.8 x^{2} - 3.5 x - 0.16 x^{3} - 0.08 (- 7 x^{2}) - 0.08 \cdot 3$

Step 1.2.2

Multiply $- 7$ by $- 0.08$ .

$1.3 x^{3} + 4.8 x^{2} - 3.5 x - 0.16 x^{3} + 0.56 x^{2} - 0.08 \cdot 3$

Step 1.2.3

Multiply $- 0.08$ by $3$ .

$1.3 x^{3} + 4.8 x^{2} - 3.5 x - 0.16 x^{3} + 0.56 x^{2} - 0.24$

Step 2

Simplify by adding terms.

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Step 2.1

Subtract $0.16 x^{3}$ from $1.3 x^{3}$ .

$1.14 x^{3} + 4.8 x^{2} - 3.5 x + 0.56 x^{2} - 0.24$

Step 2.2

Add $4.8 x^{2}$ and $0.56 x^{2}$ .

$1.14 x^{3} + 5.36 x^{2} - 3.5 x - 0.24$