Apply the distributive property and combine like terms to generate an expression equivalent to 2(a + 5) + 4 (2a + 3) - 10

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Answered by GPT 3.5
To apply the distributive property, we will multiply each term inside the parentheses by the number outside the parentheses.

First, let's apply the distributive property to 2(a + 5):

2(a + 5) = 2 * a + 2 * 5
= 2a + 10

Next, let's apply the distributive property to 4(2a + 3):

4(2a + 3) = 4 * 2a + 4 * 3
= 8a + 12

Now, let's combine like terms:

2(a + 5) + 4(2a + 3) - 10
= 2a + 10 + 8a + 12 - 10

Finally, let's combine the constants:

2a + 10 + 8a + 12 - 10
= (2a + 8a) + (10 + 12 - 10)
= 10a + 12

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