Question

what should be subtracted from x3-6x2 + 3x to get 5x+8 x2 -x3​

Answer 1

Answer:

Question:-

what should be subtracted from x3-6x2 + 3x to get 5x+8 x2 -x3

Solution:-

Let the missing number be x

${x}^{3} - 6 {x}^{2} + 3x - (x) = 5x + 8 {x}^{2} - {x}^{3}$

$\mapsto \: x = 5x + 8 {x}^{2} - {x}^{3} - ( {x}^{3} - 6 {x}^{2} + 3x)$

Removing brackets,

$\mapsto \: x = 5x + 8 {x}^{2} - {x}^{3} - {x}^{3} + 6 {x}^{2} - 3x$

Regrouping like terms,

$x = 5x - 3x + 8 {x}^{2} + 6 {x}^{2} - {x}^{3} - {x}^{3}$

$x = 2x + 14 {x}^{2} - 2 {x}^{3}$

Therefore 2x+14x^2-2x^3 should be subtracted

Step-by-step explanation:

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