Question

Simplify x^3-125/2x-10

Answer 1

`We \ first, \ simplify \ (125)/(2) \\ \\ \left[\begin{array}{ccc}((x^3)-( (125)/(2)*x))-10 \end{array}\right] \\ \\ \boxed{\boxed{x^3= (x^3)/(1) = (x^3*2)/(2) }} \\ \\ \\ \boxed{ (x^3*2-(125x))/(2) = (2x^3-125x)/(2) } \\ \\ \\ ((2^3-125x)/(2) -10 \\ \\ pulling \ out \ like \ factors : \\ \\ 2x^3 - 125x = x * (2x^2 - 125) \\ \\ Factoring: \ 2x^2 - 125`

Here's how!


`Proof : \ (A+B) * (A-B) =\\ A2 - AB + BA - B2 =\\ A2 - AB + AB - B2 = \\ A2 - B2\\`

Therefore . . .


`\boxed{ (x*(2x^2-125)-(10*2))/(2) = (2x^3-125x-20)/(2) }`

The factors would then be the following:

→
`( Leading \ Coefficient : 1,2)`
→
`(Trailing Constant) : 1 ,2 ,4 ,5 ,10 ,20`

By then, understanding on how we have got in our terms, such as the like terms, and also how we have understanded the coefficient's, we would then have our answer clear below.


`\leadsto \ Your \ answer: \boxed{\bf{ (2x^3-125x-20)/(2) }}` ✔