What is factor (5+x)^3+3x-125 ?

The solution to factor (5+x)^3+3x-125 is x(x^2+15x+78)

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factor (5+x)^3+3x-125

factor

(5 + x)^{3} + 3 x - 125

x (x^{2} + 15 x + 78)

Solution steps

(5 + x)^{3} + 3 x - 125

(5 + x)^{3} : 125 + 75 x + 15 x^{2} + x^{3}

= 125 + 75 x + 15 x^{2} + x^{3} + 3 x - 125

Simplify

125 + 75 x + 15 x^{2} + x^{3} + 3 x - 125 : x^{3} + 15 x^{2} + 78 x

= x^{3} + 15 x^{2} + 78 x

Apply exponent rule:

a^{b + c} = a^{b} a^{c}

x^{2} = xx

= x^{2} x + 15 xx + 78 x

Factor out common term

x

= x (x^{2} + 15 x + 78)

\frac{a ^{- 2} b ^{- 3}}{c ^{- 9}}

- 5 x + 6 \leq 16

(- 3 + 5 i) - (7 + 9 i)

- 8 - \frac{1}{3} n \leq - 25

- 4 x^{2} + 24 x - 36

What is factor (5+x)^3+3x-125 ?
The solution to factor (5+x)^3+3x-125 is x(x^2+15x+78)