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Exercise

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

Step-by-step Solution

1

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

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

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

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

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

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

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

$x^2-\frac{1}{2}x-\frac{1}{2}$

Final answer to the exercise

$x^2-\frac{1}{2}x-\frac{1}{2}$

Try other ways to solve this exercise

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  • Product of Binomials with Common Term
  • FOIL Method
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Similar Questions Solved

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

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

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

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

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

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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