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x^(2)+5x-3x-2x-100
Which of the follow expressions is equivalent to the given expression?
Choose 1 answer:
(A) 
6x^(2)-2x-100
(B) 
6x^(2)-5x-100
(C) 
x^(2)-10 x-100
(D) 
x^(2)-100

x2+5x3x2x100 x^{2}+5 x-3 x-2 x-100 \newlineWhich of the follow expressions is equivalent to the given expression?\newlineChoose 11 answer:\newline(A) 6x22x100 6 x^{2}-2 x-100 \newline(B) 6x25x100 6 x^{2}-5 x-100 \newline(C) x210x100 x^{2}-10 x-100 \newline(D) x2100 x^{2}-100

Full solution

Q. x2+5x3x2x100 x^{2}+5 x-3 x-2 x-100 \newlineWhich of the follow expressions is equivalent to the given expression?\newlineChoose 11 answer:\newline(A) 6x22x100 6 x^{2}-2 x-100 \newline(B) 6x25x100 6 x^{2}-5 x-100 \newline(C) x210x100 x^{2}-10 x-100 \newline(D) x2100 x^{2}-100
  1. Simplify given expression: First, we need to simplify the given expression by combining like terms.\newlineThe expression is x2+5x3x2x100x^{2} + 5x - 3x - 2x - 100.\newlineWe combine the x terms: 5x3x2x=0x5x - 3x - 2x = 0x.\newlineSo the simplified expression is x2+0x100x^{2} + 0x - 100.
  2. Combine like terms: Now, we need to check if any of the answer choices match our simplified expression.\newline(A) 6x22x1006x^{2} - 2x - 100 does not match because the coefficient of x2x^{2} is not 11.\newline(B) 6x25x1006x^{2} - 5x - 100 does not match for the same reason as (A).\newline(C) x210x100x^{2} - 10x - 100 does not match because the coefficient of xx is not 00.\newline(D) x2100x^{2} - 100 matches our simplified expression because it has the same terms: x2x^{2} term, no xx term, and x2x^{2}00 constant term.

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