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Exercise

$\left(x+\frac{1}{3}\right)\left(x-2\right)$

Step-by-step Solution

1

Multiplying polynomials $x-2$ and $x+\frac{1}{3}$

$\left(x-2\right)x+\frac{1}{3}\left(x-2\right)$
2

Multiplying polynomials $x$ and $x-2$

$x^2-2x+\frac{1}{3}\left(x-2\right)$
3

Multiplying polynomials $\frac{1}{3}$ and $x-2$

$x^2-2x+\frac{1}{3}x-\frac{2}{3}$
4

Combining like terms $\frac{1}{3}x$ and $-2x$

$x^2-\frac{5}{3}x-\frac{2}{3}$

Final answer to the exercise

$x^2-\frac{5}{3}x-\frac{2}{3}$

Try other ways to solve this exercise

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  • Product of Binomials with Common Term
  • FOIL Method
  • Find the integral
  • Find the derivative
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  • Integrate by partial fractions
  • Integrate by substitution
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  • Integrate using tabular integration
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Similar Questions Solved

$\left(2+\sqrt{y}\right)\left(2-\sqrt{y}\right)$

$\left(5x+2y\right)\left(5x-2y\right)$

$\left(x-6\right)\left(x-5\right)$

$\left(2x+5\right)\cdot\left(2x-5\right)$

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

$\left(x+3\right)\left(x-1\right)$

$\left(x+2\right)\left(x+1\right)$

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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