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Consider the following expression and the simplified expression. Expression Simplified Expression 3x^2+5y +3 +4y^2+6 9x^2-7^2+9 Which terms could be in the boxes to make the expressions equivalent?

Consider the following expression and the simplified expression Expression Simplified Expression 3x25y 3 4y26 9x2729 Which terms could be in the boxes to make t class=

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TaeKwonDoIsDead

Answer:

[tex]+6x^2[/tex] and [tex]-10y^2[/tex]

Step-by-step explanation:

Let's go one term at a time from the right side and match it with the left side.

  • On the right hand side, we have [tex]9x^2[/tex]. On the left side we have [tex]3x^2[/tex]. So we would need a [tex]6x^2[/tex]. Hence we can eliminate option C and D immediately.
  • On the right hand side, we have  [tex]-y^2[/tex]. On the left side we have  [tex]5y^2[/tex] and [tex]4y^2[/tex], which is equal to [tex]9y^2[/tex]. So we would need to subtract [tex]10y^2[/tex] to make right hand side into  [tex]-y^2[/tex].

Clearly Option B is right.

alinakincsem

Answer:

The correct answer option is [tex]+6x^2[/tex] and [tex]-10y^2[/tex].

Step-by-step explanation:

We are given the following incomplete expression:

[tex] 3 x^2 + 5 y^2 [/tex] __ [tex] + 3 [/tex] __ [tex] + 4 y^2 + 6 [/tex]

and then there is its simplified expression as shown below:

[tex] 9 x^2 - y^2 + 9 [/tex]

We are to determine whether which terms could be in the boxes to make the expressions equivalent.

[tex]+6x^2[/tex] and [tex]-10y^2[/tex] are the two terms which justify the given expression:

[tex] 3 x^2 + 5 y^2 +6x^2 + 3 -10y^2 + 4 y^2 + 6 = 9 x^2 - y^2 + 9[/tex]

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