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Simplify using the distributive property.

26. -6(a +3)
29. 4(a²-8)
32. -5(x-7)
27. -7(x+2)
30. -2(3a+4)
33. -9(2+3a)
28. (X-5)4
31. 6(3-X)
34. -(x-8)

1 Answer

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Answer:

Explanation:

26. -6(a + 3)

To simplify using the distributive property, we can multiply -6 by each term inside the parentheses:

-6(a) + (-6)(3)

This gives us:

-6a - 18

29. 4(a² - 8)

Similarly, we can distribute the 4 to each term inside the parentheses:

4(a²) + 4(-8)

This simplifies to:

4a² - 32

32. -5(x - 7)

Distributing -5 to each term inside the parentheses:

-5x + (-5)(-7)

This simplifies to:

-5x + 35

27. -7(x + 2)

Applying the distributive property:

-7x + (-7)(2)

This simplifies to:

-7x - 14

30. -2(3a + 4)

Distributing -2 to each term inside the parentheses:

-2(3a) + (-2)(4)

This gives us:

-6a - 8

33. -9(2 + 3a)

Using the distributive property:

-9(2) + (-9)(3a)

This simplifies to:

-18 - 27a

28. (x - 5)4

Distributing 4 to each term inside the parentheses:

4(x) + 4(-5)

This simplifies to:

4x - 20

31. 6(3 - x)

Applying the distributive property:

6(3) + 6(-x)

This gives us:

18 - 6x

34. -(x - 8)

Using the distributive property, we need to distribute the negative sign to each term inside the parentheses:

-1(x) + (-1)(-8)

This simplifies to:

-x + 8

Remember, the distributive property allows us to multiply each term inside the parentheses by the number outside the parentheses. By applying this property, we can simplify expressions and combine like terms if necessary.

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