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pychu [463]
3 years ago
7

Write as an expression and simplify: The square of the difference of x and 8y

Mathematics
1 answer:
lukranit [14]3 years ago
6 0

Answer:

x² - 16xy + 64y²

Step-by-step explanation:

The difference of x and 8y is x - 8y

The square of the difference is (x - 8y)² = (x - 8y)(x - 8y)

Expand by multiplying each term in the second factor by each term in the first factor, that is

x(x - 8y) - 8y(x - 8y) ← distribute both parenthesis

= x² - 8xy - 8xy + 64y² ← collect like terms

= x² - 16xy + 64y²


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The product of 2√ 3 and 3√12 in simplified form is .
borishaifa [10]

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A triangle has side lengths of 24 in., 32 in., and 40 in. Is the triangle acute, obtuse, or right? A) right. B) obtuse. C) acute
statuscvo [17]
The answer is:  [A]:  "right [triangle]" .
________________________________________________
Explanation:
________________________________________________
Given:  Side lengths:
________________________________________________
  " <span>24 in., 32 in., and 40 in " ;  
________________________________________________
Divide each side length by "8" ; 
</span><span>
24 in. / 8 = 3 in. ; 

32 in. / 8 = 4 in. ;  and
 
40 in. / 8 = 5 in. . 
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3 in . , 4, in,  5 in. ;  is a "right triangle" ; 

since:  3</span>² + 4² = 5² ;

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according to the Pythagorean theorem:  " a² + b² = c² " .
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