Question

lesson 7.2 part b worksheet
simplify each expression.

1. $(-1 + 8x^{3}) - (-2 - 3x^{3} - 5x^{2})$
2. $(6n^{3} + 4n + 5) - (1 - 3n^{3})$

Explanation:

Step1: Distribute the negative sign

$(-1 + 8x^3) + 2 + 3x^3 + 5x^2$

Step2: Group like terms

$(-1 + 2) + (8x^3 + 3x^3) + 5x^2$

Step3: Combine like terms

$1 + 11x^3 + 5x^2$

Step4: Rearrange in standard form

$11x^3 + 5x^2 + 1$

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Step1: Distribute the negative sign

$(6n^3 + 4n + 5) - 1 + 3n^3$

Step2: Group like terms

$(6n^3 + 3n^3) + 4n + (5 - 1)$

Step3: Combine like terms

$9n^3 + 4n + 4$

Answer:

1. $11x^3 + 5x^2 + 1$
2. $9n^3 + 4n + 4$