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5. w(4 + n) 6. 5a + 3 + 2a² + 5a² - 8 use the distributive property / c…

Question

  1. w(4 + n)
  2. 5a + 3 + 2a² + 5a² - 8

use the distributive property / combine like terms to simplify -
circle your final answer

Explanation:

Step1: Apply the distributive property

$$\begin{align*} w(4 + n)&=w\times4+w\times n\\ &=4w+wn \end{align*}$$

Step2: Combine like terms for the second expression

$$\begin{align*} 5a + 3+2a^{2}+5a^{2}-8&=(2a^{2}+5a^{2})+5a+(3 - 8)\\ &=7a^{2}+5a-5 \end{align*}$$

Answer:

For \(w(4 + n)\): \(4w+wn\)
For \(5a + 3+2a^{2}+5a^{2}-8\): \(7a^{2}+5a - 5\)