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Exercise

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

Step-by-step Solution

1

Multiplying polynomials $\sqrt{x}$ and $3x+2$

$3\sqrt{x}x+2\sqrt{x}$
2

When multiplying exponents with same base you can add the exponents: $3\sqrt{x}x$

$3x^{\frac{1}{2}+1}+2\sqrt{x}$
3

Simplify the addition $\frac{1}{2}+1$

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

Any expression multiplied by $1$ is equal to itself

$3x^{\frac{1+2}{2}}+2\sqrt{x}$
5

Add the values $1$ and $2$

$3x^{\frac{3}{2}}+2\sqrt{x}$

Final answer to the exercise

$3x^{\frac{3}{2}}+2\sqrt{x}$

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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Similar Questions Solved

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

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

$\left(6x-5\right)\left(2x+3\right)$

$4\left(4a+5\right)$

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

$\left(2x+6\right)^2$

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

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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