Perform the multiplication and combine like terms. $$ \begin{array}{l}(2 x-3)(x+4)(x-1) \ 2 x^{3}-9 x^{2}-5 x+12 \ 2 x^{3}-7 x^{2}-7 x+12 \ 2 x^{3}+3 x^{2}-17 x+12 \ 2 x^{3}-9 x^{2}+19 x-12\end{array} $$

Question

UpStudy AI · Accepted Answer

Calculate or simplify the expression $$ (2x-3)(x+4)(x-1) $$.
Simplify the expression by following steps:
- step0: Solution:
  $$\left(2x-3ight)\left(x+4ight)\left(x-1ight)$$
- step1: Multiply the terms:
  $$\left(2x^{2}+5x-12ight)\left(x-1ight)$$
- step2: Apply the distributive property:
  $$2x^{2}	imes x-2x^{2}	imes 1+5x	imes x-5x	imes 1-12x-\left(-12	imes 1ight)$$
- step3: Multiply the terms:
  $$2x^{3}-2x^{2}+5x^{2}-5x-12x-\left(-12ight)$$
- step4: Remove the parentheses:
  $$2x^{3}-2x^{2}+5x^{2}-5x-12x+12$$
- step5: Add the terms:
  $$2x^{3}+3x^{2}-17x+12$$
The result of the multiplication and combining like terms is $$2x^{3}+3x^{2}-17x+12$$.
The simplified expression is $$2x^{3}+3x^{2}-17x+12$$.

Perform the multiplication and combine like terms.

Upstudy AI Solution

Answer

Solution

Mind Expander

Related Questions

Latest Algebra Questions