How do you simplify $(10 x^{3} - 4 x^{2} + 3 x) - (x^{3} - x^{2} + 1)$ $(10x^3 - 4x^2 + 3x) - (x^3 - x^2 + 1)$ ?

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Answer 1 · 2016-08-10T20:25:06

$9 x^{3} - 3 x^{2} + 3 x - 1$ $9x^3 - 3x^2 + 3x - 1$

Remove the brackets, notice that the minus sign will change the signs inside the second bracket:

$(10 x^{3} - 4 x^{2} + 3 x) - (x^{3} - x^{2} + 1)$ $(10x^3 - 4x^2 + 3x) - (x^3 - x^2 + 1)$

= $10 x^{3} - 4 x^{2} + 3 x - x^{3} + x^{2} - 1 collect like terms$ $10x^3 - 4x^2 + 3x - x^3 + x^2 -1 " collect like terms"$

= $9 x^{3} - 3 x^{2} + 3 x - 1$ $9x^3 - 3x^2 + 3x - 1$

How do you simplify (10x3−4x2+3x)−(x3−x2+1)(10x^3 - 4x^2 + 3x) - (x^3 - x^2 + 1)?