Answer: [tex]-5x^{2} +9x-8[/tex]
Step-by-step explanation:
[tex](4x^2 + 7x - 5) - (9x^2 - 2x + 3)[/tex]
- Remove the parentheses for addition or subtraction:[tex]4x^2 + 7x - 5 - 9x^2 - 2x + 3[/tex]
- Reorder and gather like terms: [tex](4x^2-9x^2)+(7x+2x)+(-5-3)[/tex]
- Collect coefficients of like terms: [tex](4-9)x^{2} +(7x+2x)+(-5-3)[/tex]
- Collect coefficients of like terms: [tex](4-9)x^{2} +(7+2)x+(-5-3)[/tex]
- Calculate the sum of difference: [tex]-5x^{2} +(7+2)x+(-5-3)[/tex]
- Calculate the sum of difference: [tex]-5x^{2} +9x+(-5-3)[/tex]
- Calculate the sum of difference: [tex]-5x^{2} +9x-8[/tex]
