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Exercise

$3\left(x-2\right)^2-2\left(x-1\right)$

Step-by-step Solution

1

Multiply the single term $-2$ by each term of the polynomial $\left(x-1\right)$

$3\left(x-2\right)^2-2x+2$
2

Expand $\left(x-2\right)^2$

$3\left(x^2-4x+4\right)-2x+2$
3

Multiply the single term $3$ by each term of the polynomial $\left(x^2-4x+4\right)$

$3x^2-12x+12-2x+2$
4

Add the values $12$ and $2$

$3x^2-12x+14-2x$
5

Combining like terms $-12x$ and $-2x$

$3x^2-14x+14$

Final answer to the exercise

$3x^2-14x+14$

Try other ways to solve this exercise

  • Choose an option
  • Product of Binomials with Common Term
  • FOIL Method
  • Find the integral
  • Find the derivative
  • Factor
  • Integrate by partial fractions
  • Integrate by substitution
  • Integrate by parts
  • Integrate using tabular integration
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Main Topic: Special Products

Special products is the multiplication of algebraic expressions that follow certain rules and patterns, so you can predict the result without necessarily doing the multiplication.

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