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sukhopar [10]
4 years ago
5

Six students are working to simplify the expression shown. Drag each student's answer to a box to show whether it is fully simpl

ified, equivalent to the given expression but not fully simplified, or not equivalent to the given expression.

Mathematics
2 answers:
Liula [17]4 years ago
6 0

Answer:

Here, the given expression,

9 + 2 x - 18 x + 14 y - 10

= 2 x - 18 x + 14 y - 10 + 9

= (2 - 18 )x + 14 y+ (9 - 10)

= - 16x + 14 y - 1

Thus, by the above explanation,

Equivalent and simplified fully = - 16x + 14y -1

Equivalent but not simplified fully = 1) 9 - 16x + 14y-10

2) 2x - 18x + 14y-1

Not equivalent = 1) 2x - 18x + 14 y - 19

2) - 2xy - 1

3) 16x + 14y - 1

Kay [80]4 years ago
3 0

The arrows show the appropriate destination for your dragging.

_____

Combining like terms in the given expression makes it simplify to ...

  (2x -18x) +(14y) +(9 -10) = -16x +14y -1

We are to compare this expression with the offered expressions to see if they simplify to the same thing. We'll examine those left-to-right starting with the top row:

  • 2x -18x +14y -19 = -16x +14y -19 . . . not the same
  • -2xy -1 . . . not the same
  • 16x +14y -1 . . . not the same
  • 9 -16x +14y -10 = -16x +14y -1 . . . equivalent
  • -16x +14y -1 . . . equivalent and simplified
  • 2x -18x +14y -1 = -16x +14y -1 . . . equivalent

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Answer:

(a) 8 x(5 x-6)=40 x^{2}-48 x

(c) \begin{aligned}(x-3)(5 x-6) &=5 x^{2}-21 x+18\end{aligned}

Step-by-step explanation:

(a) To find verify the answer we need to multiplying the equation 8 x(5 x-6)

8 x(5 x-6)=40 x^{2}-48 x

Thus, this statement is true.

(b) To find verify the answer we need to multiplying the equation -4 x\left(2 x^{2}+1\right)

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(c) To find verify the answer we need to multiplying the equation (x-3)(5 x-6)

\begin{aligned}(x-3)(5 x-6) &=5 x^{2}-6 x-15 x+18 \\&=5 x^{2}-21 x+18\end{aligned}

Hence, the given statement is true.

(d) To find verify the answer we need to multiplying the equation(2 x+3)\left(x^{2}+3 x-5\right)

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Hence, the given statement is false.

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