Question

Factories x3 cube minus 3 x square minus 10x + 24

Answer 1

Here ,

${x}^{3} - 3 {x}^{2} - 10x + 24 \\ \\ now \: we \: simplify this \: eqution \\ \\ = {x}^{3} - 4 {x}^{2} + {x}^{2} - 4x - 6x + 24 \\ \\ = {x}^{2} (x - 4) + x(x - 4) - 6(x - 4) \\ \\ = (x - 4)( {x}^{2} + x - 6) \\ \\ = (x - 4)( {x}^{2} + 3x - 2x - 6) \\ \\ = (x - 4) [x(x + 3) - 2(x + 3)] \\ \\ = (x - 4)(x + 3)(x - 2)$

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Answer 2

Answer:

Here ,

\begin{lgathered}{x}^{3} - 3 {x}^{2} - 10x + 24 \\ \\ now \: we \: simplify this \: eqution \\ \\ = {x}^{3} - 4 {x}^{2} + {x}^{2} - 4x - 6x + 24 \\ \\ = {x}^{2} (x - 4) + x(x - 4) - 6(x - 4) \\ \\ = (x - 4)( {x}^{2} + x - 6) \\ \\ = (x - 4)( {x}^{2} + 3x - 2x - 6) \\ \\ = (x - 4) [x(x + 3) - 2(x + 3)] \\ \\ = (x - 4)(x + 3)(x - 2)\end{lgathered}

x

3

−3x

2

−10x+24

nowwesimplifythiseqution

=x

3

−4x

2

+x

2

−4x−6x+24

=x

2

(x−4)+x(x−4)−6(x−4)

=(x−4)(x

2

+x−6)

=(x−4)(x

2

+3x−2x−6)

=(x−4)[x(x+3)−2(x+3)]

=(x−4)(x+3)(x−2)