15 POINTS! ALGEBRA HOMEWORK PLEASE HELP ASAP!
1 answer:
Simplify the following: x^3 - 2 x^3 + x - 3 x - 5 - 4 Grouping like terms, x^3 - 2 x^3 + x - 3 x - 5 - 4 = (-2 x^3 + x^3) + (x - 3 x) + (-5 - 4): (-2 x^3 + x^3) + (x - 3 x) + (-5 - 4) x^3 - 2 x^3 = -x^3: -x^3 + (x - 3 x) + (-5 - 4) x - 3 x = -2 x: -x^3 + -2 x + (-5 - 4) -5 - 4 = -9: -x^3 - 2 x + -9 Factor -1 out of -x^3 - 2 x - 9:Answer: -(x^3 + 2 x + 9) ___________________________________________________________ Yes = (-2x^3 + x - 5)+( x^3 - 3x - 4) = ( x^3 - 3x - 4)+(-2x^3 + x - 5) = True Proof: Left side Simplify the following: x^3 - 2 x^3 + x - 3 x - 5 - 4 Grouping like terms, x^3 - 2 x^3 + x - 3 x - 5 - 4 = (-2 x^3 + x^3) + (x - 3 x) + (-5 - 4): (-2 x^3 + x^3) + (x - 3 x) + (-5 - 4) x^3 - 2 x^3 = -x^3: -x^3 + (x - 3 x) + (-5 - 4) x - 3 x = -2 x: -x^3 + -2 x + (-5 - 4) -5 - 4 = -9: -x^3 - 2 x + -9 Factor -1 out of -x^3 - 2 x - 9: <span>Answer: -(x^3 + 2 x + 9) ___________________________________________________________ Right Side. Simplify the following: x^3 - 2 x^3 + x - 3 x - 5 - 4 Grouping like terms, x^3 - 2 x^3 + x - 3 x - 5 - 4 = (x^3 - 2 x^3) + (-3 x + x) + (-4 - 5): (x^3 - 2 x^3) + (-3 x + x) + (-4 - 5) x^3 - 2 x^3 = -x^3: -x^3 + (-3 x + x) + (-4 - 5) x - 3 x = -2 x: -x^3 + -2 x + (-4 - 5) -4 - 5 = -9: -x^3 - 2 x + -9 Factor -1 out of -x^3 - 2 x - 9:Answer: -(x^3 + 2 x + 9) </span>
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