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Alex73 [517]
4 years ago
10

Which expression is equivalent to 13b+23b−56(b+1)?

Mathematics
2 answers:
statuscvo [17]4 years ago
8 0
13b+23b-56(b+1) \\ \\ 36b - 56(b + 1) \ / \ simplify \\ \\ 36b - 56b - 56 \ / \ expand \\ \\ -20b - 56 \ / \ simplify \\ \\

So, your answer to this problem is -20b - 56.
ale4655 [162]4 years ago
7 0
Start by combining LIKE-TERMS. 13b AND 23 are LIKE-TERMS because they have the same variable (B) and numbers. Remember PEMDAS OR Please Excuse My Dear Aunt Sally. (Parentheses, Exponents, Multiplication, Division, Addition, Subtraction). There is also FOIL (First, Inside, Outside, Last). Because we will start with Parenthesis(Use the FOIL method because the 56 is part of the parentheses) first, (-56 x b[first part of the set]) = -56b  THEN (-56 x [+ {always carry the sign, this shows that it is positive}]1) = -56

Now we have 13b+23b -56b-56
                     =36b        -56b -56
                     = -20b    - 56
       This is your final equation because THESE ARE NOT LIKE-TERMS, therefore, they CANNOT be combined
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\LARGE{ \underline{ \tt{Required \: answer:}}}

We know that,

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Then,

We should check that, whether the sum of squares of the smaller sides will be equal to the square of the third side or not. Then, we can determine the above easily.

Sum of squares of smaller sides:

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Sum of squares of smaller sides = Square of longer side. Hence, 6,8,10 are Pythagorean triplets.

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Step-by-step explanation:

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1     /      1     -3     -10     24

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      --------------------------------

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The quotient is 1x^2 - 2x - 12 and the remainder is 12.

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