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3a*3a+3a^2+3a^2-(4a)^2

Guest Mar 5, 2017
 #1
avatar+2765 
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If you want to simplify, you get \(-a^2\)

tertre  Mar 5, 2017
 #2
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Can you show how you calculated that? Thank you so much for a quick answer.

Guest Mar 5, 2017
 #3
avatar+7155 
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(3a * 3a) + (3a+ 3a2) - (4a)2

 

That is the same thing as:

(3a * 3a) + (3a+ 3a2) - (4a*4a)

 

Multiply 3a times 3a and 4a times 4a:

(9a2) + (3a+ 3a2) - (16a2)

 

The parenthesees are not necessary.

9a2 + 3a+ 3a- 16a2

 

These terms are all alike. They can be combined.

9 apples + 3 apples + 3 apples - 16 apples = -1 apples

9a2 + 3a+ 3a- 16a2 = -1a2 = -a2

hectictar  Mar 5, 2017
 #4
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Simplify the following:
3×3 a a + 3 a^2 + 3 a^2 - (4 a)^2

Multiply each exponent in 4 a by 2:
3×3 a a + 3 a^2 + 3 a^2 - 4^2 a^2

4^2 = 16:
3×3 a a + 3 a^2 + 3 a^2 - 16 a^2

3 a×3 a = 3×3 a^2:
3×3 a^2 + 3 a^2 + 3 a^2 - 16 a^2

3×3 = 9:
9 a^2 + 3 a^2 + 3 a^2 - 16 a^2

9 a^2 + 3 a^2 + 3 a^2 - 16 a^2 = -a^2:
Answer: |-a^2

Guest Mar 5, 2017

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