Respuesta :
Answer:
3x^2-10x+8.
Step-by-step explanation:
(5x^2+13x-4)-(17x^2+7x-19)+(5x-7)(3x+1) Removing the parentheses:
= 5x^2+13x-4-17x^2-7x+19+ 15x^2+5x-21x-7 bringing like terms together:
= 5x^2-17x^2+15x^2+13x-7x-21x+5x-4+19-7
= 3x^2-10x+8
Answer:
3x² - 10x + 8
Step-by-step explanation:
Given
|(5x² + 13x - 4) - (17x² + 7x - 19) + (5x - 7)(3x + 1)
Expanding (5x - 7)(3x + 1)
Each term in the second factor is multiplied by each term in the first factor
5x(3x + 1) - 7(3x + 1) ← distribute both parenthesis
= 15x² + 5x - 21x - 7 ← collect like terms
= 15x² - 16x - 7
Expression can now be expressed as
(5x² + 13x - 4) - (17x² + 7x - 19) + (15x² - 16x - 7)
Distribute parenthesis
= 5x² + 13x - 4 - 17x² - 7x + 19 + 15x² - 16x - 7 ← collect like terms
= 3x² - 10x + 8
