lunivamaharjan11
lunivamaharjan11 lunivamaharjan11
  • 23-08-2022
  • Mathematics
contestada

Factorize: 2ab +3a+2b²+3b​

Respuesta :

eunice1234
eunice1234 eunice1234
  • 23-08-2022

Answer: [tex]\Large\boxed{(a+b)(2a+3)}[/tex]

Step-by-step explanation:

Given expression

[tex]2ab+3a+2b^2+3b[/tex]

Factorize each term

[tex]=2\times a \times b+3\times a+2\times b \times b+3\times b[/tex]

Factorize [ a ] out of the expression

[tex]=a(2b+3)+2\times b \times b+3\times b[/tex]

Factorize [ b ] out of the expression

[tex]=a(2b+3)+b(2b+3)[/tex]

Combine the parts by reverse distributive property

[tex]=\Large\boxed{(a+b)(2a+3)}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Answer Link

Otras preguntas

A washer and dryer cost a total of $939. The cost of the washer is two times the cost of the dryer. Find the cost of each item.
Which of the following does each different kind of atom represent?
840 is what percent of 1750
The PHY layer and MAC layer are the only interchangeable communication modules. True False
Calculate the concentration of OH in a solution that contains 3910-4 M H30 at 25°C. Identify the solution as acidic, basic or neutral OA) 2.6 10-11 M, acidic OB
The difference between weather and climate
Define a zoonotic pathogen. Explain, with an example, how zoonotic pathogens may be controlled.
Emma has 20 apples and 35 crackers she wants to put both in snack bags how many snack bags could she make what is the greatest common factor for this
Help me with english please
Kepler improved the Copernican model of the universe by adding :