brianabiggerson brianabiggerson
  • 17-01-2020
  • Mathematics
contestada

7x(5x+3)-(25x^2+10x-7)

Respuesta :

frika
frika frika
  • 24-01-2020

Answer:

[tex]10x^2+11x+7[/tex]

Step-by-step explanation:

Given the expression:

[tex]7x(5x+3)-(25x^2+10x-7)[/tex]

Use distributive property:

[tex]7x(5x+3)=7x\cdot 5x+7x\cdot 3=35x^2+21x\\ \\7x(5x+3)-(25x^2+10x-7)=35x^2+21x-(25x^2+10x-7)[/tex]

Open brackets:

[tex]35x^2+21x-(25x^2+10x-7)=35x^2+21x-25x^2-10x+7[/tex]

Combine the like terms:

[tex]35x^2+21x-25x^2-10x+7=(35x^2-25x^2)+(21x-10x)+7=10x^2+11x+7[/tex]

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