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Which of the following expressions is equivalent to 
-2(-x^(2)-3) ?
Choose 1 answer:
(A) 
2x^(2)-6
(B) 
2x^(2)-3
(c) 
2x^(2)+3
(D) 
2x^(2)+6

Which of the following expressions is equivalent to 2(x23) -2\left(-x^{2}-3\right) ?\newlineChoose 11 answer:\newline(A) 2x26 2 x^{2}-6 \newline(B) 2x23 2 x^{2}-3 \newline(C) 2x2+3 2 x^{2}+3 \newline(D) 2x2+6 2 x^{2}+6

Full solution

Q. Which of the following expressions is equivalent to 2(x23) -2\left(-x^{2}-3\right) ?\newlineChoose 11 answer:\newline(A) 2x26 2 x^{2}-6 \newline(B) 2x23 2 x^{2}-3 \newline(C) 2x2+3 2 x^{2}+3 \newline(D) 2x2+6 2 x^{2}+6
  1. Distribute 2-2: We need to distribute the 2-2 across the terms inside the parentheses.\newlineCalculation: 2(x2)2(3)-2(-x^{2}) - 2(-3)
  2. Multiply 2-2: Multiplying 2-2 by x2-x^{2} gives us 2x22x^{2}.\newlineCalculation: 2(x2)=2x2-2(-x^{2}) = 2x^{2}
  3. Combine Results: Multiplying 2-2 by 3-3 gives us +6+6.\newlineCalculation: 2(3)=6-2(-3) = 6
  4. Combine Results: Multiplying 2-2 by 3-3 gives us +6+6. Calculation: 2(3)=6-2(-3) = 6 Combine the results from the previous steps to get the final expression. Calculation: 2x2+62x^{2} + 6

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