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Aleonysh [2.5K]
3 years ago
12

Use the Distributive Property to simplify the expression. 7(2 + 6 - 4d) =

Mathematics
2 answers:
Maslowich3 years ago
8 0

Answer:

56-28d

Step-by-step explanation:

larisa [96]3 years ago
6 0

Answer:

56 - 28d

Step-by-step explanation:

1) First, combine the like terms within the parentheses. So, add 2 and 6 together:

7(2+6-4d)\\7(8-4d)

2) Then, use the distributive property to simplify further. To use the distributive property, you need to multiply all the terms within a set of parentheses by the number that needs to be multiplied next to it. So, in this case, multiply both 8 and -4d by 7:

7(8-4d)\\56-28d

Since we cannot simplify further or combine like terms, 56 - 28d is the simplified expression.

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Simplify completely quantity x squared plus 4 x minus 45 all over x squared plus 10 x plus 9 and find the restrictions on the va
dem82 [27]
(x² + 4x - 45)/(x² + 10x + 9) 
<span>
Numerator = N = x² + 4x - 45 </span>
= x² + 9x - 5x - 45 
= (x² + 9x) - (5x + 45) 
= x(x + 9) - 5(x + 9) 
= (x + 9)(x - 5) 
<span>
Denominator = D = x² + 10x + 9 </span>
= x² + x + 9x + 9 
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<span>
Hence, the given expr. = N/D </span>
= {(x + 9)(x - 5)}/{(x + 1)(x + 9) 
= (x - 5)/(x + 1) 
<span>
Restrictions : x ≠ - 1, x = 5 </span>


I hope my answer has come to your help. Thank you for posting your question here in Brainly.
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